By Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max Dresden
In order to equip hopeful graduate scholars with the information essential to cross the qualifying exam, the authors have assembled and solved ordinary and unique difficulties from significant American universities – Boston collage, collage of Chicago, collage of Colorado at Boulder, Columbia, collage of Maryland, collage of Michigan, Michigan kingdom, Michigan Tech, MIT, Princeton, Rutgers, Stanford, Stony Brook, college of Tennessee at Knoxville, and the college of Wisconsin at Madison – and Moscow Institute of Physics and know-how. quite a lot of fabric is roofed and comparisons are made among comparable difficulties of other colleges to supply the scholar with sufficient info to suppose cozy and assured on the examination. Guide to Physics Problems is released in volumes: this publication, Part 2, covers Thermodynamics, Statistical Mechanics and Quantum Mechanics; Part 1, covers Mechanics, Relativity and Electrodynamics.
Praise for A advisor to Physics difficulties: half 2: Thermodynamics, Statistical Physics, and Quantum Mechanics:
"… A advisor to Physics difficulties, half 2 not just serves a big functionality, yet is a excitement to learn. via picking out difficulties from assorted universities or even varied clinical cultures, the authors have successfully shunned a one-sided method of physics. all of the difficulties are solid, a few are very fascinating, a few certainly interesting, a couple of are loopy; yet them all stimulate the reader to consider physics, now not only to coach you to go an examination. i actually acquired significant excitement in operating the issues, and that i could bet that any one who desires to be a qualified physicist may adventure comparable amusement. … This booklet could be an outstanding aid to scholars and professors, in addition to a resource of delight and enjoyment." (From Foreword by means of Max Dresden)
"An very good source for graduate scholars in physics and, one expects, additionally for his or her teachers." (Daniel Kleppner, Lester Wolfe Professor of Physics Emeritus, MIT)
"A great collection of difficulties … Thought-provoking, enjoyable, and simply simple enjoyable to solve." (Giovanni Vignale, division of Physics and Astronomy, college of Missouri at Columbia)
"Interesting certainly and stress-free. the issues are inventive and their ideas very informative. i might definitely suggest it to all graduate scholars and physicists typically … relatively invaluable for lecturers who want to take into consideration difficulties to offer of their course." (Joel Lebowitz, Rutgers University)
"A very completely assembled, fascinating set of difficulties that covers the main components of physics addressed by means of Ph.D. qualifying tests. … Will end up most respected to either school and scholars. certainly, I plan to exploit this fabric as a resource of examples and illustrations that might be labored into my lectures." (Douglas generators, college of California at Irvine)
Read Online or Download A Guide to Physics Problems Part 2: Thermodynamics, Statistical Physics, and Quantum Mechanics PDF
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Extra resources for A Guide to Physics Problems Part 2: Thermodynamics, Statistical Physics, and Quantum Mechanics
C) What is the probability of not counting any particles in one of the measurements? 91 Quivering Mirror (MIT, Rutgers, Stony Brook) a) A very small mirror is suspended from a quartz strand whose elastic constant is D. ) In a real-life experiment the mirror reflects a beam of light in such a way that the angular fluctuations caused by the impact of surrounding molecules (Brownian motion) can be read on a suitable scale. The position of the equilibrium is One observes the average value and the goal is to find Avogadro’s number (or, what is the same thing, determine the Boltzmann constant).
Derive the partition function for an individa) Assuming ual diatomic molecule in two dimensions. b) Determine the thermodynamic energy E and heat capacity in the limit, where for a set of indistinguishable, independent, heteronuclear diatomic molecules constrained to rotate in a plane. Compare these results to those for an ordinary diatomic rotor in three dimensions. Comment on the differences and discuss briefly in terms of the number of degrees of freedom required to describe the motion of a diatomic rotor confined to a plane.
41 Ideal Gas in One-Dimensional Potential (Rutgers) a) An ideal gas of particles, each of mass at temperature is subjected to an external force whose potential energy has the form with and Find the average potential energy per particle. b) What is the average potential energy per particle in a gas in a uniform gravitational field? 42 Equipartition Theorem (Columbia, Boston) a) For a classical system with Hamiltonian PROBLEMS 22 at a temperature show that b) Using the above, derive the law of Dulong and Petit for the heat capacity of a harmonic crystal.
A Guide to Physics Problems Part 2: Thermodynamics, Statistical Physics, and Quantum Mechanics by Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max Dresden