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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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ASIN: 3764375744 |
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
In this second volume of The Quantum Theory of Fields, available for the first time in paperback, Nobel Laureate Steven Weinberg continues his masterly expoistion of quantum theory. Volume 2 provides an up-to-date and self-contained account of the methods of quantum field theory, and how they have led to an understanding of the weak, strong, and electromagnetic interactions of the elementary particles. The presentation of modern mathematical methods is throughout interwoven with accounts of the problems of elementary particle physics and condensed matter physics to which they have been applied. Exercises are included at the end of each chapter.
Customer Reviews:
The most authoritative book on QFT ever.......2006-01-02
Before Weinberg's books, a typical graduate student in theoretical physics would study the standard textbooks (e.g. Itzykson-Zuber, Peskin-Schroeder) to pass QFT courses. When confronted with actual research problems, he would discover that all he has learned is how to do calculations in perturbation theory, that he is unfamiliar with a host of ideas and techniques that are widely used in the present-day research literature and that he has to resort to original papers and reviews to learn them.
Weinberg's three-volume set drastically changed this situation, giving the most authoritative and complete presentation of QFT to appear in a textbook. Although it is not suitable for beginning graduate students, it is invaluable for covering all these topics that are typically omitted in QFT courses and for providing valuable insight missing from other textbooks.
The highlight of the set is Volume 2, which includes most topics where Weinberg has made his own invaluable contributions. In his inimitable style, Weinberg guides us through the great developments in QFT from the 1960's to the 1980's, including most topics that are essential for a working knowledge of modern QFT. The presentation is crystal clear throughout and every topic is presented in as much detail as it deserves. In particular, the chapters on spontaneously broken symmetries are simply masterpieces, the treatment of anomalies is the most complete ever, while the chapter on extended objects is a thorough overview of an ever-expanding subject. This book is a must for everyone working on theoretical physics.
If you appreciate Vol 1, you'll want Vol 2. .......2005-03-26
I have found this text extremely useful as a guide to the essentials of modern renormalization theory, as well as modern quantization techniques for Non-abelian gauge theories. The chapter on extended field configurations is nice, though it is meant as an overview and guide to the literature. What I like most about this volume is the discussion of experimental or phenomenological issues that complements many of the discussions. He has a broad base of knowledge in particle physics, as well as field theory. If you don't have volume 1, get that first.
Delightfully insightful.......2002-12-23
This book has some of the most exquisite expositions on the theoretical aspects of quantum field theory that you are ever likely to run into, i.e. Weinberg's name is literally stamped on every page for brilliance. There are topics treated here that are not likely to be found anywhere else, for instance Batalin-Vilkovisky Quantization. Weinberg's treatment of the proof of renormalizability is compact and yet very readable. And his chapter on anomalies is simply speaking the authortiative treatment. This book is a must have for anyone interested in the more theoretical aspects of Field Theory. Though I would recommed a few months with Peskin & Schroeder, and volume 1 of Weinberg to get the full flavour of Weinberg's treatment.
Excellent, despite some idiosyncracies.......1999-01-22
This is another gem of a book by Weinberg. The discussion is fairly modern at places (for instance nice discussion of BRST, BV Formalism, RG and Anomalies), but could have been more modern and compact in certain other places (like chiral lagrangians, standard model etc.). However, even those parts are a pleasure to read. It is just that some other aspects could have been discussed (as I hope he does in the third volume), such as SUSY, especially QFT dualities. Anyway, an excellent book!
Book Description
This widely adopted undergraduate-level text applies quantum mechanics to a broad range of chemical and physical problems, covering such subjects as wave functions for the hydrogen atom, perturbation theory, the Pauli exclusion principle and the structure of simple and complex molecules. With numerous tables and figures.
Customer Reviews:
Kind of a disappointment.......2007-05-20
This was the fourth qm book I read. I was expecting it to help me make the transition from quantum mechanics to quantum chemistry, but it didn't quiet succeed in doing so. As for QM there exist better books than this (eg Sakurai) and for QChem, I found Szabo's book to be much more better (with less of fundamentals and directly going towards applications)
Regards
Purushottam
Philosophy: By Socrates, Quantum Chemistry: By Linus Pauling.......2004-06-29
How would an "Introduction to Philosophy" by Socrates or a "Basics of the Piano" by Mozart sound like? This is something similar. Linus Pauling, the unprecedented pioneer of the application of Quantum Mechanics to Chemistry, had written this book in the 1930s as perhaps the first introduction to QM for Chemists, supported by his colleague, E Bright Wilson, a brilliant chemist in his own right. A generation of Chemists grew up learning from this book, and its content is as relevant and articulate today as it was then. Hundreds of Quantum Chemistry books, some of which are excellent, have been written in the times since it was first published. But this book still retains an incomparable flavour that brings out the fundamental nature of QM and Chemical Bonding. I have to admit that I found this book slightly difficult, because Pauling and Wilson, although being extremely lucid, never compromise on the Math. But gradually I learnt that this is the kind of book which belongs in the same category of, say, Ernest Eliel's stereochemistry book. That means that every moment you spent on it will be worth it, even if it takes you a very long time to go through it. This is one of those books where every word is carefully thought and then stated, making the journey difficult at places, but always rewarding. And why not. It is hard to imagine anyone else writing with so much confidence on the topic. So it is important not to gloss over this book quickly and then discard it as being dry, but persist in reading it and get insight out of it. The book opens with a discussion of Lagrangian mechanics and discusses some simple examples of its applications. It then moves on to the basic principles of QM, and comes to the Hydrogen molecule, which was the pinnacle of succcess for the Physicists. I think that this book has the best discussion of the H molecule ever written. I have seen other excellent Quantum Chemistry books giving a reference to this work whenever they discuss the H molecule. Moreover, I believe that a thorough understanding of the H molecule is of paramount importance for understanding any further application of QM to Chemistry. Discussion of this molecule opens the door to understanding orbitals, spherical harmonics, angular momentum and all the important concepts in theoretical Chemistry. So the book will score top points for this alone. Later on there are excellent discussions of the Variational Method, Perturbation theory and finally the various important approximations like Hartree-Fock theory and the structure of molecules. The appendices deal with detailed discussions of derivation and some mathematical topics. All in all, a clear and extremely lucid presentation, well worth every moment you can spend on it, by one of the greatest scientists of all time.
Oldie but goodie.......2003-09-12
This is a great, simple presentation of the Schroedinger viewpoint. There is no Dirac representation and no matrix mechanics. However, there is much to be liked about this book and it is a pleasure to read. Those who are baffled completely by quantum mechanics will find this an enlightening introduction and a simple understandable place to start. This is another one of those lesser known gems.
Simple with everything.......2002-12-19
If you are an undergraduate and you want everything you need, this is the book. The lack of matrix mechanics makes this book unsuitable for serious graduate students, though. I think it would actually be best for 1st or 2nd year serious undergraduate chemists who are well acquainted with differential equations.
Richly historical account of molecular quantum mechanics.......2002-06-12
In many ways, this is still my favourite quantum mechanics text. Why? Because the text is completely grounded in the quantum mechanics of atoms and molecules.
Historically, Linus Pauling spent his post-doc working throughout Europe where he absorbed the, then, new theory of quantum mechanics. However, the physicists that he learnt q.m. from only analysed the physics of, relatively simple, atomic systems. It would require someone with an immense breadth of knowledge in chemistry to make quantum mechanics come alive for molecules. This was Linus Pauling. Pauling first applied q.m. to such diverse topics as: the chemical bond, resonance energy, electronegativity, crystal structure of molecules and hydrogen bonds.
And it shows. The uniqueness of this q.m. textbook is that it gives immensely detailed references to the different ways the early physicists/chemists attacked the q.m. of bonds in molecules. Many different ansatz's and approximations to pertubation problems are given. And Pauling should know, for he was right in the thick of it. The historical value of these references alone is worth the price of this book. It's a real shame that most modern books leave these out, because a discussion of these approximations methods give a lot of insight to q.m. in molecules.
In contrast, I find modern textbooks on physical chemistry to be often lacking in deep physical insight. However, textbooks written by physicists run into all sorts of esoteric directions like quantum entanglement and the uncertainty principle and as a previous reviewer noted, Pauling's books says nothing about scattering and hardly anything on spin. This is probably because chemists aren't interested in what happens to particles in beams or Stern-Gerlach experiments. They are more interested in ionisation energy, enthalpies and bond energies.
Nevertheless, for out-and-out modern-day quantum physicists, Pauling's explanation of aspects of quantum mechanics will seem quaint, overly pictorial and concrete, e.g. discussion of *actual* orbits. And it is. However, for chemists and even atomic physicists, pondering such esoteric questions clouds the immense power of quantum mechanics in explaining the detailed properties of atoms and molecules.
Book Description
This richly illustrated textbook provides a clear, balanced and modern approach to quantum mechanics. It combines the essential elements of the theory with the practical applications. Containing many examples and problems with step-by-step solutions, this cleverly structured text assists the reader in mastering the machinery of quantum mechanics.
- A comprehensive introduction to the subject
- Includes over 65 solved examples integrated throughout the text
- Includes over 154 fully solved multipart problems
- Offers an indepth treatment of the practical mathematical tools of quantum mechanics
- Accessible to teachers as well as students
Customer Reviews:
Helped me make it through undergrad quantum.......2007-07-27
We were assigned Gasiorowitz as our textbook, and without Zettili I wouldn't have understood anything.
This book explains the material clearly and then offers ample examples to help the reader learn how to apply the concepts to quantitative problems.
The only problem I have with this book is that there are errors in the worked problems, but these are usually easy to catch and are to be expected with a first edition.
Quantum Mechanics: Concepts and Applications.......2006-08-24
This a very good book to people that is starting the studies in quantum mechanics, although the book has some mistakes in the text.
Zuper Complete Undergraduate Quantum Mechanics book!.......2005-10-09
Unlike David Griffiths' QM book, this one contains lots of relevant worked out examples and problems. Zettili also displays the theory in an open and honest way, i.e. no hiding.
There's a wealth of information in this book, so as always when studying a book, you should focus on only those topics that are relevant to your course. Otherwise you might get lost and waste time on straying.
If you find a topic of interest to you, e.g. Clebsch-Gordan coefficients (for addition of angular momenta), then you will face plenty of equations that may look frightening at first, but after struggling with those for a few hours, the payoff is absolutely fulfilling! Griffiths won't give you those Heureka-moments, but Zettili will give you the mental feedback you secretly desire to motivate why you're studying such a difficult subject like QM!
I'm reviewing this QM book from a mathematical point of view, so if you're looking for a more conceptual QM book, then I recommend Feynman's books.
If you haven't studied QM before, then I recommend McQuarrie's Physical Chemistry book. The first 8 chapters of that book will give you an easy and relevant tour of essential calculations in QM for beginners. I also recommend McQuarrie's Mathematical methods book, since it contains a section on the Gamma function, which I believe is crucial to be able to do calculations in QM.
Zettili's book displays QM with Dirac's Bra-c-ket notation, which is Zuper great tool to do integrals. It looks difficult at first, but you'll be in pain if avoid it!
The problem with Griffith's QM book is that you only get half the book for the full price, the other half is included in the Instuctor's solutions manual. That way you feel very cut off several times in every chapter and there's no flow in the book. In Zettili's book you get a Zuper complete set of theory and solutions, which is great for reference! Zettili will show you how it's done through multiple solved examples and solved problems , and after that you're so full of joy that you'll happily do the extra problems (with no answers) in the end of each chapter!
If you only have money for one of these 2 books, then I thoroughly recommend Zettili's QM book. But if you're a newbie to QM, have a look at McQuarrie's Physical Chemistry book, it also has a student solutions manual sold separately, with ALL solutions.
Sure, there are typos in Zettili's book. But are these really an obstacle for learning QM? No! It's just gratifying to be able to correct the author.
The math needed for doing the problems in this book, is mainly Calculus and Linear Algebra, but since there are so many new concepts from Mathematical methods in this book I recommend owning a Mathematical methods book. This is not beacuse new math stuff like Legendre polynomials and Spherical harmonics, etc. offer new math. They don't! They're simply strange names that use Calculus in their calculations! But you might start wondering what they are and therefore forget to learn QM which you shouldn't, so this is why I recommend a Math methods book.
Don't forget that physics and mathematics is just lots of simple things, with emphasis on LOTS! This is why it's so "difficult", it's difficult to comprehend.
If you're seriously studying QM for your Master's degree, then you will face almost all the topics within Zettili's book. So you cannot avoid the difficult math in serious QM, because QM IS difficult math!
And Zettili's QM book is one of the best books for undergraduate physics students.
Excellent undergrad quantum book.......2005-10-03
This book is an excellent quantum book. It maintains the clarity and ease that a lot of undergraduate books have, but does not sacrifice mathematical rigor to get there. This book also contains a number of worked out examples in each chapter (good examples too, not the overly simple examples you find in a lot of books) that really help the learning process along. The combination of clarity, mathematical rigor, and excellent worked examples make this by far the best undergrad quantum book around.
Great Book .......2005-04-22
Great book for those that recognize that they need the help and can use it. I had not been in school for 25 years and it really helped in my graduate QM class. I worked through lots of the examples and problems and made it very easy to do the same for the class. You learn only by doing and everything is derived clearly, concisely and completely with worked through examples to illustrate what was just discussed.
Average customer rating:
- Great for EE or MSE students
- Singh's Quantum Mechanics
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Quantum Mechanics - Fundamentals and Applications to Technology
Jasprit Singh
Manufacturer: Wiley-Interscience
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ASIN: 0471157589 |
Book Description
Explore the relationship between quantum mechanics and information-age applications
This volume takes an altogether unique approach to quantum mechanics. Providing an in-depth exposition of quantum mechanics fundamentals, it shows how these concepts are applied to most of today's information technologies, whether they are electronic devices or materials. No other text makes this critical, essential leap from theory to real-world applications.
The book's lively discussion of the mathematics involved fits right in with contemporary multidisciplinary trends in education: Once the basic formulation has been derived in a given chapter, the connection to important technological problems is summarily described. The many helpful features include
* Twenty-eight application-oriented sections that focus on lasers, transistors, magnetic memories, superconductors, nuclear magnetic resonance (NMR), and other important technology-driving materials and devices
* One hundred solved examples, with an emphasis on numerical results and the connection between the physics and its applications
* End-of-chapter problems that ground the student in both fundamental and applied concepts
* Numerous figures and tables to clarify the various topics and provide a global view of the problems under discussion
* Over two hundred illustrations to highlight problems and text
A book for the information age, Quantum Mechanics: Fundamentals and Applications to Technology promises to become a standard in departments of electrical engineering, applied physics, and materials science, as well as physics. It is an excellent text for senior undergraduate and graduate students, and a helpful reference for practicing scientists, engineers, and chemists in the semiconductor and electronic industries.
Customer Reviews:
Great for EE or MSE students.......2006-02-06
This book is easy to read. It is written by a professor in the EE Department at the University of Michigan. There are some technical applications of Quantum Mechanics. I strongly recommend to engineering students who want to really understand solid state physics and quantum optics. This book is a good introduction.
Singh's Quantum Mechanics.......1997-11-18
This volume has indeed taken a very unique approach to quantum mechanics, and I liked it very much. However, a few things may need to be improved: 1) I have noted that a significant portion of this volume is clearly taken directly from the excellent Q.M. book of Schiff. It would be nice if the author could give a little bit more of his own explanations and insights to make the volume even more original and useful. 2) I felt that too little emphasis was given to the matrix approach to Q.M., making some materials difficult to follow when the matrix formulation is invoked. 3) The application sections really linked well Q.M. to real-life problems. Being a devices physicist myself, the topics of these application examples suited my taste well. However, some example details were simply too brief, turning them into a source of confusion rather than clarification (e.g. "Excitons in Semiconductors." More words should be said about the "Central cell nature..."). - S.C. Ph.D.
Book Description
Computational chemistry has become extremely important in the last decade, being widely used in academic and industrial research. Yet there have been few books designed to teach the subject to nonspecialists.
Computational Chemistry: Introduction to the Theory and Applications of Molecular and Quantum Mechanics is an invaluable tool for teaching and researchers alike. The book provides an overview of the field, explains the basic underlying theory at a meaningful level that is not beyond beginners, and it gives numerous comparisons of different methods with one another and with experiment.
The following concepts are illustrated and their possibilities and limitations are given:
- potential energy surfaces;
- simple and extended Hückel methods;
- ab initio, AM1 and related semiempirical methods;
- density functional theory (DFT).
Topics are placed in a historical context, adding interest to them and removing much of their apparently arbitrary aspect. The large number of references, to all significant topics mentioned, should make this book useful not only to undergraduates but also to graduate students and academic and industrial researchers.
Customer Reviews:
Very good first intro to computational chemistry.......2004-08-28
The only other book I can compare this to is Cramer's, and this one is better suited to a first introduction into computatioal chemistry. I have taken one graduate quantum chemistry course, and this was more than enough background for understanding this book. This is the only text I know of (I asked my comp chem prof if he knew of any others) that walks through a Hartree Fock calculation step by step using an example. There are some mistakes in the formulas, but they are quite minor. All in all, I would recommend this book to anybody interested in beginning to learn about computational chemistry.
Rough reading.......2004-05-12
Maybe there just isn't any way into the basics of modern computational chemistry.
Lewars introduces the easy parts in a clear enough way. Potential energy surfaces make sense. Molecular mechanics has a good, intuitive feel - it's the springs-and-balls model, elaborated to include plane and dihedral angles, representing force fields derived from other sources.
After that (i.e., after p. 80), it's quantum mechanics for a few hundred pages. The premise is that the layout of electrons across a molecule determines its chemistry, and that the wave function tells where the electrons will be. Since the wave equations can't be solved exactly for anything with two or more electrons (!), it's actually approximations to quantum. That leads to two levels of opacity: quantum itself, and all the facts that were scraped off in the approximation process. At this point, the chice is binary: become fluent in quantum, or move on. There are a few nuggets to be had for the non-fluent, including some of the techniques for solving these horrendous integrals. Mostly, though, I moved on.
After the "ab initio" quantum mechanical methods, Lewars presents the semi-empirical models. These deal with simplified models of wave functions. Unlike ab initio methods, which stand on almost purely theoretical models, semi-empirical methods are informed by experimental data. They are based on the electron wave functions, as are the ab initio methods, but use approximations calibrated by experimental results. The book's final section presents density functional theory (DFT), another technique for estimating where the electrons will be.
This book demands a lot of the reader, more than I came in with or had time to develop. I was able to use it to get a working vocabulary of the major kinds of computations, the general categories of approach to modeling, and a rough idea of the techniques and complexities involved. I need a little more information than that, but not the immediate leap into the deep end presented here.
I look forward to a review by someone more knowledgeable. For now, my only real criticism of this book is lack of glossary. Initialisms and acronyms abound. It would have made the going a lot easier if the book had one place where I could refresh my memory on the dozens or hundreds of abbreviations.
Book Description
Ticciati's approach to quantum field theory falls between building a mathematical model of the subject and presenting the mathematics that physicists actually use. It begins with the need to combine special relativity and quantum mechanics and culminates in a basic understanding of the standard model of electroweak and strong interactions. The book is divided into five parts: canonical quantization of scalar fields, Weyl, Dirac and vector fields, functional integral quantization, the standard model of the electroweak and strong interactions, renormalization. This should be a useful reference for those interested in quantum theory and related areas of function theory, functional analysis, differential geometry or topological invariant theory.
Customer Reviews:
Filled with pearls for the experienced "diver".......2006-12-14
I preface my comments by stating that this book is not intended as an introduction to QFT.
The student should have a solid understanding of SR, QM, tensor analysis, group theory including Lie Groups, and Hilbert spaces.
I will not regurgitate what the book covers, one need only use the "search inside" tab to look at the contents.
Having said this, this book is an excellent and indispensible to tool to BROADEN and DEEPEN your understanding of QFT. If all you want to do is calculate scattering amplitudes and decay rates I would not recommend this book, there are plenty of better applied QFT books available for this.
This books fills in the gaps other books fail to close. There is no "hand waving" of results which was refreshing. As a consequence you begin to understanding the subtle points of QFT and why the theory is the way it is.
As mentioned in the title of the review there are plenty of "pearls". For example, there is an entire chapter on internal and external symmetries and their representations by groups of matrices ( lie groups ). There is a complete description of the importance of Lie alegbras and how the generators of the Lie Algebra create conserved currents and quantities ( operators ) which help one study the evolution of states since these quantities are conserved. By studying the structure of the lie algebra one gains importance insights into the commutative properties of the corresponding conserved current and quantity operators. There is a great section on the derivation of the S matrix and the relations between the "Schrodinger " " Heisenberg " and "Interaction" pictures of QM. We see that the evolution of the interacting state can be entirely derived from the free field hamiltonians with certain restrictions. One thing I really liked about this section is that it explains the limitations of the S matrix approach ( has to do with the assumptions of turning "on and off" interactions )which I have not come across in other standard QFT texts. This motivates the need for functional integral quantization.
Another point of contention I have had with standard presentations of QFT is that they just assume that Noether's theorem from classical field theory can be applied after the quantization process. This book explains mathematically why it can be.
Succinctly, the defects in QFT presentation in other texts is explained, which makes understanding the material more difficult. However, the payoff is that one understands the motivation behind the IDEAS of QFT.
The book is also filled with little "homework" assignments to solidfy knowledge.
The logical and organized presentation of the material made it very difficult for me to put this book down for any length of time until it was finished.
A Great Field Theory Book.......2002-08-08
Yes this book isn't perfect, but what book on physics is? That aside, there is no question this is an excellent field theory book with a rigorous approach. Physicists could learn from this style to produce better textbooks rather than following their usual mysterious approach to writing. This book is clearly laid out not only in mathematical style but also with clear and concise explanations of many physical concepts. It is in my opinion far better than Weinberg's book, written in a more readable style. It is also better than books like Peskin and Schroeder and Kaku which seem sloppily put together. Put the book together with Ryder and you will have the tools needed to get a good understanding of field theory. The title might be unfortunate, because it might keep physics professors from considering using it in their classes instead of the usual lousy standby's, which is too bad for the students.
fills a niche.......2002-01-10
This book is far from perfect, but I think it begins to fill an important niche in the world of QFT books: it presents most aspects of the theory, from basic principles to Feynman rules, gauge fields and renormalization, in a form that is unusually accessible to mathematicians. I'm coming at this from the perspective of a mathematician who has tried and failed to learn QFT from a variety of other books, and I wish I had discovered this one before even opening Weinberg or Peskin & Schroeder. Ticciati doesn't completely avoid the kind logical sleight of hand that is commonplace among physicists, but when doing manipulations whose mathematical basis is questionable, he's usually at least honest enough to point this out to the reader. I especially enjoyed the chapter on Lie algebra representation theory, which is closer to a mathematician's presentation of this subject than a physicist's, yet not without plenty of physical motivation. I'd criticize this book only for two things: (1) it's riddled with misprints (some obvious, some not) and (2) some topics are explained rather more concisely than they deserve, and not always in the most logical order; Ticciati has a tendency to use certain subtle concepts implicitly a few sections before he defines them precisely. One may hope that such errors will be corrected in a future edition.
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The Casimir Effect and Its Applications (Oxford Science Publications)
Vladimir Mostepanenko , and
N. N. Trunov
Manufacturer: Oxford University Press, USA
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The Casimir Effect
ASIN: 0198539983 |
Book Description
Of value to the general scientific public, this is the first book in the world scientific literature devoted to the Casimir effect. This topic has important applications in the fields of elementary particle physics, statistical physics, quantum field theory, gravitation and cosmology.
Book Description
Aimed at graduate physics and chemistry students, this is the first comprehensive monograph covering the concept of the geometric phase in quantum physics from its mathematical foundations to its physical applications and experimental manifestations. It contains all the premises of the adiabatic Berry phase as well as the exact Anandan-Aharonov phase. It discusses quantum systems in a classical time-independent environment (time dependent Hamiltonians) and quantum systems in a changing environment (gauge theory of molecular physics). The mathematical methods used are a combination of differential geometry and the theory of linear operators in Hilbert Space. As a result, the monograph demonstrates how non-trivial gauge theories naturally arise and how the consequences can be experimentally observed. Readers benefit by gaining a deep understanding of the long-ignored gauge theoretic effects of quantum mechanics and how to measure them.
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Geometry, Topology and Quantization (Mathematics and Its Applications)
P. Bandyopadhyay
Manufacturer: Springer
ProductGroup: Book
Binding: Hardcover
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ASIN: 0792343050 |
Book Description
This monograph deals with the geometrical and topological aspects associated with the quantization procedure, and it is shown how these features are manifested in anomaly and Berry Phase. This book is unique in its emphasis on the topological aspects of a fermion which arise as a consequence of the quantization procedure. Also, an overview of quantization procedures is presented, tracing the equivalence of these methods by noting that the gauge field plays a significant role in all these procedures, as it contains the ingredients of topological features.
Audience: This book will be of value to research workers and specialists in mathematical physics, quantum mechanics, quantum field theory, particle physics and differential geometry.
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