Download PDF by Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max: A Guide to Physics Problems Part 2: Thermodynamics,
By Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max Dresden
In order to equip hopeful graduate scholars with the data essential to cross the qualifying exam, the authors have assembled and solved general and unique difficulties from significant American universities – Boston college, college of Chicago, college of Colorado at Boulder, Columbia, collage of Maryland, collage of Michigan, Michigan country, 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 expertise. quite a lot of fabric is roofed and comparisons are made among related difficulties of alternative colleges to supply the scholar with adequate info to suppose cozy and assured on the examination. Guide to Physics Problems is released in volumes: this booklet, Part 2, covers Thermodynamics, Statistical Mechanics and Quantum Mechanics; Part 1, covers Mechanics, Relativity and Electrodynamics.
Praise for A consultant to Physics difficulties: half 2: Thermodynamics, Statistical Physics, and Quantum Mechanics:
"… A advisor to Physics difficulties, half 2 not just serves a tremendous functionality, yet is a excitement to learn. through making a choice on difficulties from diverse universities or even various medical cultures, the authors have successfully kept away from a one-sided method of physics. all of the difficulties are strong, a few are very fascinating, a few certainly fascinating, a number of are loopy; yet them all stimulate the reader to contemplate physics, no longer purely to coach you to cross an examination. i actually got massive excitement in operating the issues, and that i may bet that anybody who desires to be a qualified physicist might adventure comparable leisure. … This ebook can be a good aid to scholars and professors, in addition to a resource of delight and enjoyment." (From Foreword by way of Max Dresden)
"An first-class 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 number of difficulties … Thought-provoking, pleasing, and simply undeniable enjoyable to solve." (Giovanni Vignale, division of Physics and Astronomy, college of Missouri at Columbia)
"Interesting certainly and stress-free. the issues are creative and their suggestions very informative. i'd definitely suggest it to all graduate scholars and physicists typically … quite important for academics who want to take into consideration difficulties to offer of their course." (Joel Lebowitz, Rutgers University)
"A very completely assembled, attention-grabbing set of difficulties that covers the major components of physics addressed by means of Ph.D. qualifying assessments. … Will end up most precious to either school and scholars. certainly, I plan to take advantage of this fabric as a resource of examples and illustrations that may be labored into my lectures." (Douglas turbines, college of California at Irvine)
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Additional resources for A Guide to Physics Problems Part 2: Thermodynamics, Statistical Physics, and Quantum Mechanics
A) For a dilute system derive the equation of state in terms of temperature pressure P, particle density and particle mass Do this derivation approximately by keeping the leading and next-leading powers of Interpret your results as an effective classical system. b) At a given temperature, for which densities are your results valid? 69 Speed of Sound in Quantum Gases (MIT) The sound velocity where density. in a spin-1/2 Fermi gas is given at is the mass of the gas particles, and by is the number a) Show that where is the chemical potential.
Explicitly display the dependence on the volume Now consider another vessel, also at temperature containing the same number of molecules of the identical gas held at pressure b) Give an expression for the total entropy of the two gases in terms of c) The vessels are then connected to permit the gases to mix without doing work. Evaluate explicitly the change in entropy of the system. 39 21 Chemical Potential of Ideal Gas (Stony Brook) Derive the expression for the Gibbs free energy and chemical potential of N molecules of an ideal gas at temperature pressure P, and volume V.
Hint: Minimize the free energy. Now, instead of neutral particles, consider the creation of electron-positron pairs. 75 D-Dimensional Blackbody Cavity (MIT) Consider a D-dimensional hypercube blackbody cavity. What is the energy density as a function of temperature? It is not necessary to derive the multiplicative constant. 76 Fermi and Bose Gas Pressure (Boston) For a photon gas the entropy is where is the angular frequency of the mode. 1): THERMODYNAMICS AND STATISTICAL PHYSICS 37 a) Show that the isothermal work done by the gas is where is the average number of photons in the mode.
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