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Intermediate Quantum Mechanics (Advanced Book Classics)
Hans A. Bethe , and Roman Jackiw Manufacturer: Westview Press ProductGroup: Book Binding: Paperback Similar Items:
ASIN: 0201328313 |
Book Description
Graduate students in both theoretical and experimental physics will find this third edition of Intermediate Quantum Mechanics, refined and updated in 1986, indispensable. The first part of the book deals with the theory of atomic structure, while the second and third parts deal with the relativistic wave equations and introduction to field theory. Throughout its nearly thirty-five years in print, Intermediate Quantum Mechanics has consistently offered more complete coverage of applications of quantum mechanics than any other single-volume work on the subject.Customer Reviews:
very good.......2004-03-03
A good overview.......2003-01-31
Chapter 1 is a brief overview of elementary quantum mechanics, and the authors set down the notation and units to be followed in the book. They state the main goal of the book, which is to solve the Schrodinger equation for an atom with nuclear charge Ze. This problem for one-electron is straightforwardly solved, but for more than one electron approximation techniques must be used, a few of which they mention. Since spin will have to be dealt with throughout the book, the authors include a description of spin 1/2 particles.
In chapter 2 the authors discuss the use of symmetry principles in quantum many-particle systems, pointing out the origin of exchange degeneracy and the Pauli exclusion principle. The authors also give an interesting discussion of the experimental determination of symmetry, particularly their argument for the absence of hidden variables.
In chapter 3 the authors give an overview of the quantum mechanics of two-electron atoms, pointing out that the calculations give six-figure agreement between theory and experiment. Perturbation and variational methods are used to solve the Schrodinger equation for this system, and show the origin of the triplet and singlet levels for the helium atom.
In chapter 4, the authors introduce another approximation technique, the self-consistent field or "Hartree-Fock" method, in order to calculate the excited states for the two-electron atom more efficiently. This approach involves using a variational trial function, called the determinantal wave function, as an ansatz, which because of orthogonality and parity considerations, results in a set of equations, called the Hartree-Fock equations, for the single electron orbitals. The "exchange term" in these equations is discussed in detail, involving a notion of a "nonlocal" potential. The physical significance of the eigenvalue in these equations is also discussed, and related to the famous Koopman theorem. It is proven also that atoms with closed shells leads to a spherically symmetric theory. The periodic table is shown to be a consequence of the Pauli principle and the Hartree-Fock calculation.
An improvement to Hartree-Fock, the Thomas-Fermi method, which does not include exchange, is discussed in chapter 5. Classified as a "statistical method", this method finds the effective potential energy experienced by a small test charge, along with the electron density around the nucleus. The authors show how exchange effects can be included using a procedure due to P.A.M. Dirac, which uses a concept of effective exchange potential, and one due to W. Lenz, which is a constrained optimization procedure, requiring that the total energy be stationary.
In order to remove the degeneracy in the atomic shells due to the Hartree-Fock approximation, the authors view it as a perturbation expansion in chapter 6, with the unperturbed Hamiltonian being the Hartree-Fock central field Hamiltonian, and the perturbation being the electrostatic interaction of the electrons minus a suitable average of it. The search for proper linear combinations of zero-order degenerate eigenfunctions to make the total Hamiltonian diagonal entails the use of the total orbital and spim angular momentum of all the electrons in the atom. Hence the authors outline in detail how to perform the addition of angular momenta in this chapter. The reader can see clearly the origin of the famous Clebsch-Gordon coefficients. This program is carried out in more detail in chapter 7, wherein the authors considers and atom which has an electron configuration distributed over several complete and one incomplete shell. The incomplete shell gives several different degenerate solutions, and this degeneracy can be removed by the assignment of angular momentum and spin quantum numbers to the orbitals in the shell. This chapter is characterized by a considerable amount of arithmetic in computing matrix elements, which can readily be handled by modern symbolic computation packages.
The contribution of the spin-orbit interaction to the level structure of atoms, ignored in the previous two chapters, is studied in chapter 8. The authors also consider the interaction of the electron configuration with an external field, such as a magnetic field. The spin-orbit interaction is not considered in a relativistic framework, but instead is given a "pseudo-derivation", in the words of the authors. The (correct) Dirac theory for spin-orbit interaction is given later in chapter 22. And here again, the matrix elements, and reduced matrix elements, considered in this chapter can best be handled by symbolic computation packages. This is particularly true for matrix elements of vector operators between states of different angular momentum, which the authors shy away from. The reader though can see the origin of the famous Wigner-Eckart theorem in the context of these computations. The Zeeman effect, resulting from the interaction of an electron with a homogeneous magnetic field, is discussed, along with the Paschen-Back effect, which results from the external magnetic field being strong enough to allow the Zeeman term in the Hamiltonian to dominate the spin-orbit interaction. Also discussed is the Stark effect, which results when an atom is placed in an external electric field. The authors show how to compute the energy shifts in this case, using, but not proving, some formulas due to Condon and Shortly.
Learn to apply your quantum mechanics.......1998-08-19
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Psychoanalytic Collisions
Joyce Anne Slochower Manufacturer: The Analytic Press ProductGroup: Book Binding: Hardcover Similar Items:
ASIN: 0881634255 |
Book Description
In this beautiful work of reflection and self-reflection, Joyce Slochower wrestles with a seldom acknowledged dimension of being a psychoanalyst - the dialectic between illusions and less ideal realities that complicate the analyst's sense of who she is and of how best to meet her clinical obligations. Psychoanalytic Collisions details the various ways in which the analyst's wishes (both professional and personal) collide with the less-than-perfect actualities of everyday clinical work. The collisions in question are often rooted in the analyst's own illusions: illusions of therapeutic possibility in the face of ordinary human existence or illusions of therapeutic selflessness in the face of one's own immutably self-centered humanity. Such collisions may complicate nonclinical professional activities such as writing, in which the analyst's desire to develop a personal idiom collides with self doubt and the imagined rebuff of teachers and colleagues. Other collisions coalesce dyadically in the consulting room. They may reflect sharp dissonance between what the patient needs the analyst to feel and what the latter actually feels, as in discrepant experiences of erotic desire. They may grow out of colliding idealizations of analyst and patient, each of the other. And they may arise in the wake of traumatizing life events that destroy the shared illusions on which treatment has rested.
Customer Reviews:
Superb!.......2007-03-15
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Relativistic Quantum Theory of Atoms and Molecules (Springer Series on Atomic, Optical, and Plasma Physics)
I.P. Grant Manufacturer: Springer ProductGroup: Book Binding: Hardcover Similar Items: ASIN: 0387346716 |
Product Description
Relativistic quantum electrodynamics, which describes the electromagnetic interactions of electrons and atomic nuclei, provides the basis for modeling the electronic structure of atoms, molecules and solids and of their interactions with photons and other projectiles. The theory underlying the widely used GRASP relativistic atomic structure program, the DARC electron-atom scattering code and the new BERTHA relativistic molecular structure program is presented in depth, together with computational aspects relevant to practical calculations. Along with an understanding of the physics and mathematics, the reader will gain some idea of how to use these programs to predict energy levels, ionization energies, electron affinities, transition probabilities, hyperfine effects and other properties of atoms and molecules.
Intended for Physicists and Chemists who need to understand the theory of atomic and molecular structure and processes, and who wish to apply the theory to practical problems. As far as practicable, the book will provide a self-contained account of the theory of relativistic atomic and molecular structure, based on the accepted formalism of bound-state Quantum Electrodynamics. The theory will be based securely on rigorous mathematical and numerical analysis. Those more interested in applications than in understanding the models in depth will be able to skip much of the mathematical material. The algorithms used in several software packages -- for atomic structures, for electron-atom scattering and photoionisation and for relativistic atomic and molecular structures -- will be presented, together with an outline of the scope and use of each. The software packeges themselves will be included on a CD. Many applications of relativistic atomic and molecular structure theory use model potentials, self-consistent fields, or density- functional methods, supplemented by some form of many-body perturbation theory or coupled-cluster method for improved accurac
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Quantum Theory: A Wide Spectrum
E.B. Manoukian Manufacturer: Springer ProductGroup: Book Binding: Hardcover Similar Items:
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ASIN: 1402041896 |
Book Description
The ultimate modern textbook on Quantum Theory, this graduate-level and self-contained s text is also a reference and research work which provides background for researchers in this discipline, covering important recent developments and most aspects of the theory with fairly detailed presentations.
In addition to traditional topics, it includes: selective measurements, Wigner's Theorem of symmetry transformations, generators of quantum transformations, supersymmetry, details on the spectra of Hamiltonians and stability of quantum systems, Bose-Fermi oscillators, coherent states, hyperfine structure of the H-atom for any angular momentum, the non-relativistic Lamb shift, anomalous magnetic moment of the electron, Ramsey oscillatory fields methods, measurement, interference and the role of the environment, the AB effect, geometric phases (including the nonadiabatic and noncyclic), Schrödinger's cat and quantum decoherence, quantum teleportation and cryptography, quantum dynamics of the Stern-Gerlach effect, Green functions, path integrals, including constrained dynamics, quantum dynamical principle and variations, systematics of multi-electron atoms, stability of matter, collapse of "bosonic matter" and the role of spin, intricacies of scattering, quantum description of relativistic particles for any spin and mass, spinors, helicity, the Spin & Statistics Theorem.
In addition it contains numerous problems, some of which are challenging enough for research.
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International Conference on Nuclear Data for Science and Technology (AIP Conference Proceedings)
Manufacturer: American Institute of Physics ProductGroup: Book Binding: Hardcover ASIN: 073540254X |
Book Description
All papers were peer reviewed. This conference focused on the broad field of nuclear data, their production, dissemination, and testing, with the goal of providing reliable data for applications such a nuclear fission and fusion energy, accelerators, spallation neutron sources, nuclear medicine, environment, space, non-proliferation, nuclear safety, astrophysics and cosmology, and basic research.
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Collision-Based Computing
Manufacturer: Springer ProductGroup: Book Binding: Paperback ASIN: 1852335408 |
Book Description
Collision-Based Computing presents a unique overview of computation with mobile self-localized patterns in non-linear media, including computation in optical media, mathematical models of massively parallel computers, and molecular systems. It covers such diverse subjects as conservative computation in billiard ball models and its cellular-automaton analogues, implementation of computing devices in lattice gases, Conway's Game of Life and discrete excitable media, theory of particle machines, computation with solitons, logic of ballistic computing, phenomenology of computation, and self-replicating universal computers. Collision-Based Computing will be of interest to researchers working on relevant topics in Computing Science, Mathematical Physics and Engineering. It will also be useful background reading for postgraduate courses such as Optical Computing, Nature-Inspired Computing, Artificial Intelligence, Smart Engineering Systems, Complex and Adaptive Systems, Parallel Computation, Applied Mathematics and Computational Physics.
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Molecular Collision Theory
M. S. Child Manufacturer: Dover Publications ProductGroup: Book Binding: Paperback Similar Items:
ASIN: 0486694372 |
Book Description
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Collision Theory
Marvin L. Goldberger , and K.M. Watson Manufacturer: John Wiley & Sons Inc ProductGroup: Book Binding: Hardcover Similar Items:
ASIN: 0471311103 |
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Ancient Astronauts, Cosmic Collisions and Other Popular Theories About Man's Past
William H. Stiebing Jr. Manufacturer: Prometheus Books ProductGroup: Book Binding: Paperback Similar Items:
ASIN: 0879752858 |
Customer Reviews:
A breath of fresh air.......1999-06-11
Stiebing recognizes that part of the appeal of "popular theories" about the past stems not only from their sensational nature but also from a communication gap between mainstream scholars and the general public, few of whom have any idea what academics do or how they arrive at their dates, hypotheses, or conclusions. Stiebing ends with the hope that "Perhaps with concerted effort we can narrow the communication gap between scholars and the general public and make people less intellectually unwary than they have been heretofore. If so, popular theories may become less popular in the future." We must now admit, almost 15 years on, that his optimism has proven unwarranted. Despite excellent TV shows like "Archaeology" and "NOVA," the mass media continue to tout endlessly the "mysteries" of Atlantis, the Bible, ancient astronauts, the pyramids, etc. Charlatans like John A. West, Robert Schoch and Graham Hancock continue to get more airtime to view their nonsensical and untenable positions than any "mainstream" archaeologist. You can bet your bottom dollar that Hancock's crock has sold far more copies than M. Lehner's superb "The Complete Pyramids," a mainstream work that charts the rise and demise of the pyramid-building era of Egyptian history. The communication gap that Stiebing identified in 1984, it seems, is wider than ever.
A much-needed dose of rationality........1998-11-30
This man needs to open up his mind.......1998-07-12
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Global Encounters in the World of Art: Collisions of Tradition and Modernity
Manufacturer: KIT Publishers ProductGroup: Book Binding: Paperback ASIN: 9068322818 |
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