A Guide to Physics Problems: Part 2: Thermodynamics, Statistical Physics, and Quantum Mechanics

ISBN-13: 9780306452918 / Angielski / Miękka / 1997 / 354 str.

G. D. Mahan; Boris E. Nadgomy; Gerald D. Mahan

Opis

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)

Spis treści

Thermodynamics and Statistical Physics: Introductory Thermodynamics: Why Bother? Space Station Pressure. Heat and Work: Cylinder with Massive Piston. Spring Cylinder. Ideal Gas and Classical Statistics: Poison Distribution in Ideal Gas. Polarization of Ideal Gas. Nonideal Gas: Heat Capacities. Return of Heat Capacities. Mixtures and Phase Separation: Entropy of Mixing. Leaky Balloon. Quantum Statistics: Fermi Energy of a 1D Electron Gas. Two-Dimensional Fermi Gas. Fluctuations: Magnetization Fluctuation. Gas Fluctuations. Applications to Solid State: Thermal expansion and Heat Capacity. Schottky Defects. Quantum Mechanics: One-Dimensional Potentials: Shallow Square Well I. Shallow Square Well II. Harmonic Oscillator: Given a Gaussian. Harmonic Oscillator ABC's. Angular Momentum and Spin: Given Another Eigenfunction. Algebra of Angular Momentum. Variational Caluculations: Anharmonic Oscillator. Linear Potential I. Perturbation Theory: Momentum Perturbation. WKB: Bouncing Ball. Scattering Theory: Step-Down Potential. General: Spherical Box with Hole. Appendices: 154 Additional Problems.