By Sidney B. Cahn, Gerald D. Mahan, Boris E. Nadgorny, Max Dresden
In order to equip hopeful graduate scholars with the data essential to go the qualifying exam, the authors have assembled and solved ordinary and unique difficulties from significant American universities – Boston collage, college of Chicago, collage of Colorado at Boulder, Columbia, college of Maryland, collage of Michigan, Michigan nation, Michigan Tech, MIT, Princeton, Rutgers, Stanford, Stony Brook, collage 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 comparable difficulties of alternative faculties to supply the scholar with adequate details to think 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 major functionality, yet is a excitement to learn. by way of picking difficulties from various universities or even assorted clinical cultures, the authors have successfully shunned a one-sided method of physics. the entire difficulties are reliable, a few are very attention-grabbing, a few certainly interesting, a number of are loopy; yet them all stimulate the reader to contemplate physics, no longer in basic terms to coach you to go an examination. i myself got enormous excitement in operating the issues, and that i may wager that any one who desires to be a certified physicist could event related entertainment. … This booklet may be a very good aid to scholars and professors, in addition to a resource of enjoyment 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 choice of difficulties … Thought-provoking, exciting, 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 recommendations very informative. i'd definitely suggest it to all graduate scholars and physicists generally … rather beneficial for lecturers who wish to take into consideration difficulties to provide of their course." (Joel Lebowitz, Rutgers University)
"A very completely assembled, fascinating set of difficulties that covers the most important parts of physics addressed through Ph.D. qualifying assessments. … Will end up Most worthy to either school and scholars. certainly, I plan to take advantage of this fabric as a resource of examples and illustrations that would be labored into my lectures." (Douglas turbines, collage of California at Irvine)
Read 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
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? What is the final state? 63. 5 Å at T = 0. 65 Two-Dimensional Fermi Gas (MIT, Wisconson-Madison) Consider a noninteracting nonrelativistic gas of N spin-1/2 fermions at T = 0 in a box of area A.
D) Assume now that the rotational motion of the molecule is described by quantum mechanics. Write the partition function in this case, taking into account the degeneracy of each state. Calculate the heat capacity of a system of N molecules in the limit of low and high temperatures and compare them to the classical result. 45 Two-Level System (Princeton) Consider a system composed of a very large number N of distinguishable atoms at rest and mutually noninteracting, each of which has only two (nondegenerate) energy levels: Let E / N be the mean energy per atom in the limit a) What is the maximum possible value of E / N if the system is not necessarily in thermodynamic equilibrium?
To illustrate this consider the following problem. A one-dimensional harmonic oscillator has an infinite series of equally spaced energy states, with where is a positive integer or zero and is the classical frequency of the oscillator. a) Show that for a harmonic oscillator the free energy is b) Find the entropy S. 78 Photon Gas (Stony Brook) Consider a photon gas at temperature T inside a container of volume V. Derive the equation of state and compare it to that of the classical ideal gas (which has the equation Also compute the energy of the photon gas in terms of PV.