Book Description
This comprehensive textbook utilizes Green's functions and the equations derived from them to solve real physical problems in solid-state theoretical physics. Green's functions are used to describe processes in solids and quantum fluids and to address problems in areas such as electron gas, polarons, electron transport, optical response, superconductivity and superfluidity.
The updated third edition features several new chapters on different mean-free paths, Hubbard model, Coulomb blockade, and the quantum Hall effect. New sections have been added, while original sections have been modified to include recent applications.
This text is ideal for third- or fourth-year graduate students and includes numerous study problems and an extensive bibliography.
Customer Reviews:
Good book but so much money.......2006-07-22
This book is massive and covers a huge spectrum of material. Probably not cost effective in comparison to Fetter and Walecka unless you get it for under eighty bucks. I enjoyed it quite a bit until the Postal Service stole it from me.
Containing too many misprints........2001-11-19
Unfortunately, the 3rd edition of Mahan's book contains enormous number of misprints. Sometimes, it is impossible to understand what is meant by the author without consulting the previous edition. For example, in Sec. 4.1.5. the author refers in the text to the equation which apparently should be between Eqs. (4.126) and (4.127) but which had been omitted. At the same time, some evident drawbacks of the previous edition have not been corrected. For example, the definition of the thermodynamic average used in Sec. 3.6 is different from that used in the previous sections, although it is not mentioned in the text. Despite the book is an excellent introduction into the field of Many-Particle Physics, I would recommend to the customer to either buy the previous edition or to wait for a new one.
Bien detaille, comprehensible........1999-03-16
Un excellent livre sur un sujet d'actualite. G. Mahan discute de nombreuses en detaillant a chaque fois les etapes necessaires et en ne negligeant pas les explications ni les liens entre les differentes theories. Vu le prix, courez a votre bibliotheque pour vous le procurer!
Average customer rating:
- Schaum's Outline of Quantum Mechanics
- Very useful, needs a rewrite ...
- Best value for money
- Excelente libro de texto sobre Física Cuántica.
- Not great
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Schaum's Outline of Quantum Mechanics (Schaum's)
Eliahu Zaarur , and
Phinik Reuven
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Problems in Quantum Mechanics: With Solutions
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ASIN: 0070540187 |
Book Description
This powerful study guide makes sometimes-daunting material accessible. More than 240 problems solved step-by-step help students gain a firm grasp of proper methods and a solid foundation for further study. All the essentials of this basic course are covered clearly and concisely, cutting study time and making important points memorable. The next-best thing to a private tutor, this study guide helps boost grades and proves ideal for professionals, too, who wish to study solo to master this discipline.
Customer Reviews:
Schaum's Outline of Quantum Mechanics.......2007-01-21
Basic information, and lots of problems (many worked out, others with answers). Makes for good practice and review.
Very useful, needs a rewrite ..........2006-11-19
This book is useful. There is a variety of problems from fairly easy to difficult, but in general, the problems are similar (and often the same) as problems in graduate texts such as Merzbacher, Cohen, etc.. My complaint with this book is not necessarily the typos (although they should be fixed given the popularity of this book). My complaint is that that the authors sometimes skip steps in the solutions that are so critical, that is is nearly impossible to understand them. A useful solution can leave out mathematical drudgery, and calculations, but it shouldn't leave out critical steps that have been covered earlier in the book, because a solutions manual like this is not usually used as a textbook, it is used as a reference.
For instance I may want to try a practice problem on the Variational Method, and the problem leaves out steps that may have been covered in earlier chapters. So I spend hours playing with the problem until I find the solution. This is not useful, and not what a problems and solutions book should do. I understand that not every step can be included, but I would rather see more complete solutions, which might sacrifice the unsolved problems and the blank pages at the end of the book.
This book seems to have been typewritten from the authors' handwritten notes, because many of the typos are consistent with penmanship. But one of the authors should go over all of the solutions, flesh out the missing steps, and correct the errors. Without doing this, the physics student can't rely on this book as a trusted source, since they never know if the error they encounter is a typo or their own mistake.
Regardless, this is a useful book, and I have learned a lot from it.
Best value for money.......2006-08-25
This book is a complete introductory course that presents the basic concepts of Quantum Mechanics.
As a newcomer to this subject, I was puzzled by the separate definitions of the similar notions of inner product (denoted
< , >), scalar product (denoted ( , )), scalar product (denoted
< | >) and Dirac bracket (also denoted
< | >). It would be most helpful if, in a future edition, the authors could define these four notions in one place, along with an explanation of the differences (if any) between them.
Apart from this minor annoyance, for which I deducted one star, this book succesfully tackles a most important and difficult subject. The writing and presentation are up to the usually high standards of Schaum's Outline series. There are plenty of exercises, both solved and unsolved. And it's excellent value for money. For the price, there's no serious competition.
A better mathematical treatment, based on linear vector spaces, may be found in "Principles of Quantum Mechanics" by Shankar.
Excelente libro de texto sobre Física Cuántica........2006-01-30
La mayoría de los textos de Física Cuántica que he leído, son inabordables en algunos momentos por la complejidad de la misma notación, falta de ejemplos directos de aplicación, y deficientes estructuraciones del contenido. El resultado es que finalmente te ves rodeado de una gran cantidad de libros de texto, para cubrir diferentes capítulos.
En cambio este libro, sobresale con holgura, cubriendo todas esas carencias.
* La estructura del libro es correcta.
* El número de ejemplos es muy amplio (como si no en un Schaum's).
* La notación es la que normalmente se utiliza en este campo.
¡ Qué más se puede pedir, en un libro de texto !.
Carlos Ortega
2006-01-30
Not great.......2006-01-28
I bought this book as I was taking undergraduate-level Quantum Mechanics. While it has a better review and analysis of bra and ket notation than, say, the Griffiths text, and has excellent applications (square well, energy levels, Landau Levels, etc.), it was practically useless until I finished the course. Additionally, as others have pointed out, the outline is riddled with errors. It is not as well-written as Murray Spiegel's Vector Analysis or Fourier Series books. If you're a graduate student or want a refresher course, I'd consider it. Otherwise, this is not the ideal choice.
Book Description
Problem solving in physics is not simply a test of understanding of the subject, it is an integral part of learning it. In this book, the key ideas of quantum mechanics are well illustrated by a carefully chosen set of problems complete with detailed, step-by-step solutions. Beginning with a chapter on orders of magnitude, a variety of topics is then covered, including the mathematical foundations of quantum mechanics, Schrödinger's equation, angular momentum, the hydrogen atom, the harmonic oscillator, spin, time-independent and time-dependent perturbation theory, the variational method, multielectron atoms, transitions and scattering. Throughout, the physical interpretation or application of certain results is highlighted, thereby providing useful insights into a wide range of systems and phenomena. There is considerable emphasis on applications to atomic, nuclear, and solid-state physics and this book will be invaluable to a wide range of physics undergraduates.
Customer Reviews:
Don't waste your money.......2006-11-13
I bought this book because I really needed practice solving problems in QM. It lacks the mathematical background (ie, linear operators, commutators, commutating operators, and other necessary mathematics). Oh, there's a couple of problems, but as far as I am concerned, I threw the money away. It has not helped me. I am a grad student, and I never studied operators, or commutators, and of course, no one else ever uses them except in QM. I still don't know how to use operators !! My bad, like the title says, don't waste your money. The 1 star in the rating is only because they wouldn't let me submit this review without a 1 to 5 rating, as far as I am concerned it rates Zero stars
To learn QM quickly.......2006-04-30
This small book is very suitable for those who want to brush up their quantum mechanics knowledge and practice as well as new learners. Its level of difficulty is about upper-undergraduate level.
Each chapter is allotted a certain subject of quantum mechanics, the theory is laid out very succinctly and briefly. Almost no derivation is given. So, one must consult quantum mechanics reference books for detailed derivations. There is one set of fully-solved, instructive problems in each chapter. The problems are designed in such a way that the student can learn and practice a different aspect of the chapter in each question.
If one wants to understand quantum mechanics going beyond the nasty, abstract and lengthy mathematical hodgepodge, this books is for you!
The Best QM Learning and Practice Tool Available!.......2004-08-16
This book is a spectacular tool for those learning Quantum Mechanics! I can't say enough good things about this little book! This is not strictly a textbook per se (you will not get the extensive theoretical derivation of rotation operators or second order perturbation theory, for example.) That being said, it is better written, clearer and more useful than many so-called textbooks out there! While the book is designed to be more like a review book for those that have already taken a course in QM, I think you can almost learn the theory and practice of QM with this book alone. The book has ten chapters covering ten basic QM topics (Numerics, Fundamentals, the Schroedinger Equation, Orbital Angular Momentum and the Hydrogen Atom, Spin and Addition of Angular Momentum, Time-Independent Approximation Methods, Identical Particles, Time Dependent Perturbation Theory, Scattering and Miscellaneous Topics.) There are about three pages of key equations at the beginning of each chapter, followed by key problems and WORKED SOLUTIONS. The problems that are selected are selected with great care, seemingly to demonstrate the most important concepts in the most clear way. There are only about 10 problems at the end of each ten chapters, for about 100 total in the book, but each problem introduces a new key concept or key technique--- and I do emphasize KEY. The solutions are extensive, clear, and well thought-out, with no steps left out of derivations, and comments made as to the importance of each concept when appropriate. In short, there is no filler in this book, and what is presented is pure gold. If you work slowly through each of these 100 problems, you will do well on your exams, wow your friends and neighbors, and be an expert in the basics of QM when you are through. Now isn't that worth $32.00?
great primer!.......2001-08-06
This is a fantastic book ... explains standard undergrad quantum problems clearly ... the best explainations I've ever encountered! Learning the fundamentals of q.m. is easy with the help of this book.
essential for review of what QM is.......2000-04-06
If you have already taken undergraduate QM course and want to review what you have learned, it is a best book with readable size for couple of days. The book summarizes the basic formulae with a brief comments at each chapter. After keeping in mind the key idea you see the problems which are application of the formulae. The problem sets are so well organized as to help you get a consistent concept of what QM really is. Master it.
Book Description
This self-contained treatment of nonrelativistic many-particle systems discusses both formalism and applications in terms of ground-state (zero-temperature) formalism, finite-temperature formalism, canonical transformations, and applications to physical systems. 149 figures. 8 tables. 1971 edition.
Customer Reviews:
Good introductory read on MBQM.......2006-02-03
The Fetter and Walecka is an excellent introductory read on many-body quantum mechanics. It slowly introduces new concepts, beginning from the basics of second quantization, and proceeds through the entire theory using Wick's theorem and second-quantized methods. The section on examples gives the book a nice general appeal. As a condensed matter physicist, I can focus on getting the basic examples given in my section down, while still getting a good sampling of other branches of physics in a well-written way.
Although it should not be the end of one's study of many-body quantum mechanics, it should certainly be the beginning. The Abrikosov, although very thorough and covering a wide range of topics, is written more as a list of results than as a text to learn from. Furthermore, one would probably want to hunt down a text like the Schulman "Methods and Applications of Path Integration" or the Negele "Quantum Many-Particle Systems" to see the imaginary time and path integral formulations of these topics.
Green's functions vs. Many-body physics.......2005-01-15
It is the best text on Green's functions, especially if you are a kind of person who really reads through books trying to figure the things out. Probably the only book which succeeds in promoting analytic continuation for newcomers (although I also recomment appendix in the book by Kadanoff&Baym): it seems like many people get impression of this being a topic of secondary importance, whereas it is the conerstone of the imaginary time techniques.
I also recommend Abrikosov et al. as a classic and a good sample of how the things are done in majority of the papers (and the Dover edition is really cheap).
Sorry for Mahan, as it makes a good reference book, but not a book you can learn from.
I found that more practical people give preference to the book by Jauho and Haug- it is not a bad one, has Keldysh technique, and containes useful references to important review papers.
Finally, I recommend the book by Negele and Orland as a more modern look at "many-body physics" as it is versus "Green's functions books".
solid text.......2004-12-13
I find F&W's writing lucid and their math clear. it's more fleshed out than a text like mahan. the only drawback is that it's old fashioned.
so I would get this over abrikosov et al, it's not as complete as mahan, and you'd need another text if you wanted to learn about path integral techniques, but pound for pound (and considering that dover reprints are cheap) it holds its own.
Still a Standard Text.......2004-01-03
Very well written and with a comprehensive explanation of the basics of advanced quantum theory. This is the place for understanding about computing propagators and Feynman diagrams to arbitrary order.
Plus, the Dyson equation! At last, you can find out what made Freeman Dyson famous amongst physicists. You can decide whether this ranks in importance to Feynman's and Schwinger's discoveries.
The problem sets are nontrivial. Which will be appreciated by you, AFTER you have attempted them. (Whilst you are in an allnighter, trying to finish a problem set, your opinion may differ!)
The book does not cover superstrings, because those came after its publication.
classical text for many particle theory.......2003-10-14
This book is one of the most famous textbooks for the many
particle theory. I like it and recommend to anyone who studies
many particle theory for the first time. But, I should make some
comments on this book. First, this book does not contain any
descriptions for the path integral method, which is now very
popular in the field of many particle theory and is compactly
explained in Negele and Orland. Second, applications seems to be
somewhat old. This is inevitable and not author's fault. For
example, modern nuclear theory goes far beyond the RPA. Third,
authors focused on the perturbational expansion of the Green's
function and did not give explanations how to use the Feynman
diagrams to calculate the energy corrections for the fermion
systems, which is found in March, Raimes and Gross.
Anyway, this is a good book. I hope everyone likes it!
Book Description
In order to equip hopeful graduate students with the knowledge necessary to pass the qualifying examination, the authors have assembled and solved standard and original problems from major American universities – Boston University, University of Chicago, University of Colorado at Boulder, Columbia, University of Maryland, University of Michigan, Michigan State, Michigan Tech, MIT, Princeton, Rutgers, Stanford, Stony Brook, University of Tennessee at Knoxville, and the University of Wisconsin at Madison – and Moscow Institute of Physics and Technology. A wide range of material is covered and comparisons are made between similar problems of different schools to provide the student with enough information to feel comfortable and confident at the exam.
Guide to Physics Problems is published in two volumes: this book,
Part 2, covers Thermodynamics, Statistical Mechanics and Quantum Mechanics;
Part 1, covers Mechanics, Relativity and Electrodynamics.
Praise for
A Guide to Physics Problems: Part 2: Thermodynamics, Statistical Physics, and Quantum Mechanics:
"…
A Guide to Physics Problems, Part 2 not only serves an important function, but is a pleasure to read. By selecting problems from different universities and even different scientific cultures, the authors have effectively avoided a one-sided approach to physics. All the problems are good, some are very interesting, some positively intriguing, a few are crazy; but all of them stimulate the reader to think about physics, not merely to train you to pass an exam. I personally received considerable pleasure in working the problems, and I would guess that anyone who wants to be a professional physicist would experience similar enjoyment. … This book will be a great help to students and professors, as well as a source of pleasure and enjoyment." (From Foreword by Max Dresden)
"An excellent resource for graduate students in physics and, one expects, also for their teachers." (Daniel Kleppner, Lester Wolfe Professor of Physics Emeritus, MIT)
"A nice selection of problems … Thought-provoking, entertaining, and just plain fun to solve." (Giovanni Vignale, Department of Physics and Astronomy, University of Missouri at Columbia)
"Interesting indeed and enjoyable. The problems are ingenious and their solutions very informative. I would certainly recommend it to all graduate students and physicists in general … Particularly useful for teachers who would like to think about problems to present in their course." (Joel Lebowitz, Rutgers University)
"A very thoroughly assembled, interesting set of problems that covers the key areas of physics addressed by Ph.D. qualifying exams. … Will prove most useful to both faculty and students. Indeed, I plan to use this material as a source of examples and illustrations that will be worked into my lectures." (Douglas Mills, University of California at Irvine)
Customer Reviews:
Sloppy.......2006-06-16
The idea behind this book is good, and the selection of problems is okay. However, there are flaws that undermine the usefulness of many of the problems. All too often there is not enough information given in a problem to solve it, and the solution will assume values for mass, temperature, etc. (i.e. pull numbers out of nowhere).
Some solutions are wrong. The first problem in the book, for example - "Sure, it's fine to sit in a sealed chamber when an atomic bomb explodes. There's no change in temperature because no molecules are escaping. What is this 'potential energy' of which you speak?"
Also, a number of the problems are not as self-contained a qual questions tend to be, and rely on you having solved other problems first (which makes it difficult to pick and choose the problems you do from this book).
And the pictures... are cute, but they are worse than useless. For example, look at P.4.3 and tell me that you expected them to assume the balloon was less than 2km from the Earth. It looks like it's farther away than the Moon. Combine this picture with the lack of information given in the problem and you have no idea what density to pick. (I used the density of the interstellar medium because of the picture. They assume the density of air at the surface of the Earth!)
It's worth looking at nonetheless, but don't buy it. It's put together in far too sloppy a fashion.
A Good Text, Not Perfect.......2005-08-03
Finding a collected set of problems in thermodynamics and quantum mechanics with their solutions is a challenge. A Guide to Physics Problems Part 2 answers that challenge well, though imperfectly. Here are the book's strengths:
- The problems are varied and cover lots of ground.
- There are not hundreds of problems just for the sake of having hundreds of problems. Problems are selected carefully to make sure that they don't overlap concepts. This means you'll do a few problems on each topic, with each problem requiring different skills and techniques. Repitition is thankfully minimized.
- Problems are written clearly and succintly.
- All problems seem "fair". These are concepts I would expect to see tested on graduate level exams.
But there are also weaknesses:
- The solutions are not always crystal clear. At times, I found myself wondering where particular equations came from.
- I found certain concepts not covered well. For example, in the quantum mechanics section, I don't recall any problems regarding free particle states.
Overall, this is a solid and useful purchase. While not perfect, it's still one of the better resources out there for learning thermo and QM.
physics qualifying exams.......2004-10-22
I simply did the problems in this book and then passed the Caltech physics phd qualifying exam for quantum and statistical mechanics. The difference between this book and the standard Yung-kuo book for practice problems is brevity. Yung-kuo simply has too many problems, many of which are very similar, teaching no new concepts. Cahn, on the other hand, has picked a smaller but more meaningful subset of problems. There are few enough problems that you can do them all in a reasonable amount of time, but enough that you hit all the major concepts. I highly recommend it for anyone studying for physics quals, or for an undergraduate with a couple weeks of time who is about to do the GRE. I realize that the GRE doesn't have in-depth problems, but by doing in-depth problems you master the concepts that the GRE does test on.
Elegant Physics Problems and Solutions.......2000-01-10
This book provides elegant physics problems (and solutions) from the preliminary doctoral exams of some prestigious universities. Very good for preparing these exams and also gaining problem solving skills in physics (not only for exams).
With these problems, I also understood some concepts which were not clear before. This book can, therefore, be used as a source for applications of the corresponding subjects. I strongly recommend it.
Average customer rating:
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Symplectic Geometry and Quantum Mechanics (Operator Theory: Advances and Applications / Advances in Partial Differential Equations)
Maurice de Gosson
Manufacturer: Birkhäuser Basel
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Book Description
This book is devoted to a rather complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduction to symplectic geometry. Many topics are also of genuine interest for pure mathematicians working in geometry and topology.
Book Description
This completely revised and corrected new edition provides several new examples and exercises to enable deeper insight in formalism and application of Quantum electrodynamics.
It is a thorough introductory text providing all necessary mathematical tools together with many examples and worked problems. In their presentation of the subject the authors adopt a heuristic approach based on the propagator formalism. The latter is introduced in the first two chapters in both its nonrelativistic and relativistic versions. Subsequently, a large number of scattering and radiation processes involving electrons, positrons, and photons are introduced and their theoretical treatment is presented in great detail. Higher order processes and renormalization are also included. The book concludes with a discussion of two-particle states and the interaction of spinless bosons.
Customer Reviews:
Excellent for self-study - My highest recommendations.......2004-01-29
This book basically covers the same material as chapters 6-9 of the classic "Relativistic Quantum Mechanics" by Bjorken & Drell.
- Propagator
- Basic Quantum Electrodynamical Processes
- The Scattering Matrix in Higher Order (including good discussions of vacuum polarization, electron self-energy and the vertex correction)
- QED of spinless bosons
In addition to this it covers bound systems and strong fields, which are not discussed in B&D. The book also does a good job of working out a lot of the details missing from B&D.
The only minuses are:
-- some of the more advanced topics in B&D are dropped.
-- there are a lot of typos (but the alert reader should spot them easily)
Most accurate theory in physics........2000-02-18
QED is known as the most accurate theory in physics. This text nicely explains the major achievements in QED by Feynmann, Schwniger, and Tomonaga. Important connection among relativities, quantum mechanics, and classical electrodynamics.
Book Description
Quantum Mechanics (Symmetries) deals with a particularly appealing and successful concept in advanced quantum mechanics. After a brief introduction to symmetries in classical mechanics, the text turns to their relevance in quantum mechanics, the consequences of rotation symmetry, and the general theory of Lie groups. The isospin group, hypercharge, SU(3) and their applications are all dealt with in depth before chapters on charm, SU(4), and dynamical symmetries lead to the frontiers of research in particle physics. This unique text comprises more than 120 detailed, worked examples and problems.As the third reprint of the second edition, this book has been revised to bring the text up to date.
Customer Reviews:
FIRST read a book in Lie groups.......2003-08-15
Book: Quantum Mechanics - Symmetries, 2nd edition, 15 chapters, 496 pages
Scope of the book: applications of group theory in elementary particle physic (no field theory!)
Reader: PhD student in physics, I am a beginner in that area, this is my first book in symmetries and Lie groups.
My evaluation:
The math sections in the book give u some basic notion of Lie groups but are NOT sufficient to fully understand the logic behind the scene everywhere. My advice is to read some good book in Lie groups in advance.
The strongest feature of the book is its richnes of examples and solved exercises both in group theory and in its application to particle physics. You can learn a lot of analytical 'tricks' from the solutions.
At the same time the text is full of small errors (signs, indeces, equation numbers, misprints). They are easy to detect and fun to debug and keep you concentrated while debugging.
My main objection is that very often the logic in the text remains hidden, broken or fuzzy. Sometimes they prove some statement but at the end you can't tell what was actually proven or under what conditions that proof is valid, what facts it is derived from, does it rely on implicit assumptions or it's generaly true. As a consequence of that you are not sure if you can apply the statement for a situation that is not exactly the one discussed in the book. Sometimes it's hard to tell if they are talking about a necessary of sufficient condition or both. Or they, having something in mind that you don't know about, make some sudden assumption and you wonder why. Some concepts are not defined sharply from the begining but instead the authors use fussy definitions and define them much later (example: tensor product of multiplets and its reduction is defined understandably in chapter 10 but is used all the time before that). The explanations of the algebra in the examples and exercises is also not the best since in many cases I see a more logical, organized and understandable way to explain it to the reader. Also in some cases the book gives just the algebra without giving the reader the more fundamental cause for some fact(example: in exercise 8.3 page 255 they have two matrices connected by a similarity transformation, they prove with some algebra that the eigenvalues remain the same but don't tell you that's always the case with similarity transformations).
To my opinion the authors have to a lot of work to do to make the logic fully explicit and understandable to the reader everywhere in the text. Without that, the book can be regarded as a nice collection of solved examples and exercises in group theory and particle physics.
I give that book 3 out of 5 stars and hope that the other volumes of the sequence don't have that flaw.
Contents of the book:
chap1: symmetries in classical physics, Noether's theorem, symmetries in quantum mechanics and their generators: momentum, angular momentum, energy and spin operators
chap2: angular momentum algebra; irreducible representations of SO(3); addition of angular momenta; Clebsh-Gordon coefficients
chap3: Lie groups, generators, Lie algebra; Casimir operators and Racah theorem; multiplets;
chap4: enumeration of the multiplets through eigenvalues of Casimir operators; energy degeneracy within a multiplet; two or more commuting symmety groups
chap5: neutron, proton doublet; isospin SU(2) symmetry; pion triplet; adjoint representation of Lie algebra
chap6: charge Q; hypercharge Y; baryons, antibaryons, baryon resonances; T3-Y diagrams;
chap7: U(n) and SU(n) groups; generators, Lie algebra of SU(3); subalgebras of SU(3) and shift operators; dimensions of SU(3) multiplets D(p,q);
chap8: smallest non-trivial representations of SU(3), quarks; meson multiplets; tensor product of multiplets and their reduction; Gell-Mann-Okubo mass formula; quark models with spin added, SU(6); wave functions construction, proton, neutron, baryon decuplet, baryon octet; mass formula in SU(6);
chap9: permutation group Sn, identical particles; Young diagrams; dimensions of irreducible Sn representations; connection to SU(n) multiplets; dimensions of SU(n); decompositions of SU(n) multiplet into SU(n-1) multiplets; decomposition of tensor product of multiplets with Young diagrams;
chap10: group characters; schur first and second lemma; orthogonality relations of characters of discrete finite groups; reduction of reducible representations; continuous, compact groups, group integration; integration over unitary groups; group characters of U(n); quark-gluon plasma example;
chap11: charm, SU(4), group generators; smallest non-trivial representations of SU(4), [4] and [4bar]; decomposition of tensor products of SU(4) multiplets; OZI rule for suppressing reactions; meson and baryon multiplets, SU(3) content; potential model of charmonium;SU(4)[with spin SU(8)] mass formula;
chap12: weight operators, standard Cartan-Weyl basis of a semi-simple Lie algebra; root vectors; graphic representations of root vectors and Lie algebras; simple roots and Dynkin diagrams;
chap13: space reflection (parity); time reversal; antilinear operators, complex conjugate operator K, antiunitary operator; general form of time reversal operator in coordinate representation for particle with spin;
chap14: classical hygrogen atom constants of motion: energy, angular momentum, Runge-Lenz vector; corresponding quantum constants of motion (operators), their algebra and group SO(4)- dynamical symmetry; decoupling of the SO(4) algebra into two SO(3) algebras and determination of the energy eigenvalues (Pauli method i guess); classical and quantum isotropic oscillator;
chap15: compact and noncompact Lie groups; group SU(p,q); group SO(p,q); generators of SO(2,1), infinitesimal operators, Casimir operators; non-compactness of SO(2,1) and its infinite dimensional irreducible unitary representations; application of SO(2,1) representations to scattering problems;
Average customer rating:
- Nice condensed book
- a good source for a "quick review"
- better than most professors, but...
- Not really a very good book
- Very helpful, but also very theoretical
|
Schaum's Outline of Continuum Mechanics
George Mase
Manufacturer: McGraw-Hill
ProductGroup: Book
Binding: Paperback
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Continuum Mechanics: Concise Theory and Problems
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Continuum Mechanics for Engineers, Second Edition
ASIN: 0070406634 |
Book Description
For comprehensive—and comprehensible—coverage of both theory and real-world applications, you can’t find a better study guide than Schaum’s Outline of Continuum Mechanics. It gives you everything you need to get ready for tests and earn better grades! You get plenty of worked problems—solved for you step by step—along with hundreds of practice problems. From the mathematical foundations to fluid mechanics and viscoelasticity, this guide covers all the fundamentals—plus it shows you how theory is applied. This is the study guide to choose if you want to ace continuum mechanics!
Customer Reviews:
Nice condensed book.......2007-09-07
This is a great book to support all the information you can get in a single continuum mechanics class. It could be nice if it has a more detailed treatment of the mohr's circle because of his power in 2D and an approach to the analysis of shells and plates.
Best regards and enjoy it!
a good source for a "quick review".......2003-12-03
Like most other Schaum's series, the theory sections are condensed, which makes the part more like a compendium of continuum mechanics. The theoretical sections are thus good for a quick review of the material but not a good resource for "learning" the material. The biggest advantage of the book is that it provides an inexpensive summary of continuum mechanics.
The downside of the book is that the solved problems are not similar to the type of problems one confronts in a typical continuum course. In most cases several problems (statement together with the solution) are presented in a single page, which shows that each problem has been solved in 1-5 lines. I personally don't like most of the problems presented here; however, the problems could be useful for warming up.
A better book is "Introduction to the Mechanics of a Continuous Medium" by Malvern, which is the best I've seen in explaining the intricacies of the theory. Another good complement is Holzapfel's "Nonlinear Solid Mechanics: A Continuum Approach for Engineering", which contains both the theory AND some solved sample problems.
better than most professors, but..........2003-04-13
Better than most professors, but concepts are still difficult to grasp. Have you ever had one of those tennis ball machines go crazy at you? That is how continuum mechanics is, you constantly have things hurled in your direction and you don't know how to stop them. The concepts are very difficult to understand since I'm sure many professors have a hard time understanding the course material itself. The Schaum's outline helps very much in the sense that it slows down the hurling of material and it explains where many equations are derived from. This book stands out above the rest of continuum mechanics books in the sense that it offers solved problems, which is rare for such a theoretical class.
Not really a very good book.......2003-03-26
Not really a very good book on continuum mechanics. However, it
does summarise some very important points and equations useful
for quick reference. The exercise is not so great.
Very helpful, but also very theoretical.......2000-03-28
The problems in this book where very helpful to me in my applied continuum mechanics course, but they tended more towards the theoretical side. A good purchase for students and researchers dealing with solid mechanics and mechanics of materials.
Average customer rating:
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Self-consistent Quantum-Field Theory and Bosonization for Strongly Correlated Electron Systems (Lecture Notes in Physics Monographs)
Rudolf Haussmann
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover
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ASIN: 3540658122 |
Book Description
This research monograph offers an introduction to advanced quantum field theoretical techniques for many-particle systems beyond perturbation theory. Several schemes for resummation of the Feynman diagrams are described. The resulting approximations are especially well suited for strongly correlated fermion and boson systems.
Also considered is the crossover from BCS superconductivity to Bose--Einstein condensation in fermion systems with strong attractive interaction. In particular, a field theoretic formulation of "bosonization" is presented; it is published here for the first time. This method is applied to the fractional quantum Hall effect, to the Coulomb plasma, and to several exactly solvable models.
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