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 regular and unique difficulties from significant American universities – Boston college, collage of Chicago, college of Colorado at Boulder, Columbia, college of Maryland, college of Michigan, Michigan country, Michigan Tech, MIT, Princeton, Rutgers, Stanford, Stony Brook, college of Tennessee at Knoxville, and the collage of Wisconsin at Madison – and Moscow Institute of Physics and know-how. quite a lot of fabric is roofed and comparisons are made among related difficulties of other faculties to supply the coed with sufficient 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 advisor to Physics difficulties: half 2: Thermodynamics, Statistical Physics, and Quantum Mechanics:
"… A advisor to Physics difficulties, half 2 not just serves a major functionality, yet is a excitement to learn. via picking out difficulties from diversified universities or even various medical cultures, the authors have successfully kept away from a one-sided method of physics. the entire difficulties are sturdy, a few are very attention-grabbing, a few absolutely fascinating, a number of are loopy; yet them all stimulate the reader to consider physics, now not in basic terms to coach you to move an examination. i myself obtained significant excitement in operating the issues, and that i could wager that anybody who desires to be a certified physicist may event comparable leisure. … This e-book could be a very good support 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, collage of Missouri at Columbia)
"Interesting certainly and stress-free. the issues are creative and their suggestions very informative. i might definitely suggest it to all graduate scholars and physicists normally … quite worthy for academics who wish 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 most important parts of physics addressed by way of Ph.D. qualifying checks. … Will end up most precious to either school and scholars. certainly, I plan to exploit this fabric as a resource of examples and illustrations that would be labored into my lectures." (Douglas turbines, college of California at Irvine)
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Additional resources for A Guide To Physics Problems. Thermodynamics, Statistical Physics, And Quantum Mechanics
59 Hydrogen Sublimation in Intergalactic Space (Princeton) A lump of condensed molecular hydrogen in intergalactic space would tend to sublimate (evaporate) because the ambient pressure of hydrogen is well below the equilibrium vapor pressure. Find an order-of-magnitude estimate of the rate of sublimation per unit area at The latent heat of sublimation is and the vapor pressure at the triple point is of Hg. 60). Find the mass of oxygen and the oxygen saturation vapor pressure at this temperature.
The pressure at the top of the jar is the radius of each original bubble is and the coefficient of surface tension is Consider the process to be isothermal. Evaluate the change of pressure inside the jar upon merging of the two bubbles. 62 Soap Bubble Coalescence (Moscow Phys-Tech) Two soap bubbles and of radii and become one bubble of radius Find the surface tension coefficient for the soap solution. 63). The ambient pressure is the temperature is and the surface tension coefficient is a) Is this system in stable equilibrium?
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): TLFeBOOK 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. Thermodynamics, Statistical Physics, And Quantum Mechanics by Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max Dresden