By Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max Dresden

In order to equip hopeful graduate scholars with the data essential to move 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, college 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. a variety of fabric is roofed and comparisons are made among related difficulties of other faculties to supply the coed with adequate info to consider 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 making a choice on difficulties from diversified universities or even diverse clinical cultures, the authors have successfully kept away from a one-sided method of physics. the entire difficulties are stable, a few are very fascinating, a few certainly exciting, a number of are loopy; yet them all stimulate the reader to consider physics, now not basically to coach you to go an examination. i actually got huge excitement in operating the issues, and that i might wager that anybody who desires to be a qualified physicist may event comparable leisure. … This ebook may be an excellent support to scholars and professors, in addition to a resource of delight and enjoyment." (From Foreword via 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, wonderful, and simply undeniable enjoyable to solve." (Giovanni Vignale, division of Physics and Astronomy, college of Missouri at Columbia)

"Interesting certainly and relaxing. the issues are creative and their ideas very informative. i might definitely suggest it to all graduate scholars and physicists usually … really beneficial for lecturers who want to take into consideration difficulties to give 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 way of Ph.D. qualifying checks. … Will end up most beneficial 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, collage of California at Irvine)

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Additional resources for A Guide To Physics Problems. Thermodynamics, Statistical Physics, And Quantum Mechanics

Sample text

From volume to a) Find the work done on the gas and the heat absorbed by the gas. TLFeBOOK 16 PROBLEMS b) The gas now expands adiabatically to volume What is the final temperature (derive this result from first principles)? c) Estimate for K for air. 26 Isochoric Cooling and Isobaric Expansion (Moscow Phys-Tech) An ideal gas of total mass and molecular weight is isochorically (at constant volume) cooled to a pressure times smaller than the initial pressure The gas is then expanded at constant pressure so that in the final state the temperature coincides with the initial temperature Calculate the work done by the gas.

35 Poisson Distribution in Ideal Gas (Colorado) Consider a monatomic ideal gas of total molecules in a volume Show that the probability, for the number N of molecules contained in a small element of V is given by the Poisson distribution TLFeBOOK PROBLEMS 20 where V. 36 is the average number of molecules found in the volume Polarization of Ideal Gas (Moscow Phys-Tech) Calculate the electric polarization of an ideal gas, consisting of molecules having a constant electric dipole moment in a homogeneous external electric field E at temperature What is the dielectric constant of this gas at small fields?

Assume a relation between energy and momentum of the form Find a relation between D and for Bose condensation to occur. 72 How Hot the Sun? 72). To make the numerical estimate, you are encouraged to ignore all factors of 2’s and to express any integrals that you might have in dimensionless form, and to take all dimensionless quantities to be unity. 73 35 Radiation Force (Princeton, Moscow Phys-Tech, MIT) Consider an idealized Sun and Earth, both blackbodies, in otherwise empty flat space. The Sun is at a temperature and heat transfer by oceans and atmosphere on the Earth is so effective as to keep the Earth’s surface temperature uniform.

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