STATISTICAL MECHANICS PHY5524
HOMEWORK 2
(January 16, 2006)
Due on Wednesday, January 25, 2006
PROBLEM 4
Read and make a one paragraph summary on the concept of Negative Temperature. Some
useful references are: N.F. Ramsey, Phys. Rev. 103, 20 (1956) and M
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STATISTICAL MECHANICS PHY5524
HOMEWORK 1
(January 10, 2006)
Due on Wednesday, January 18, 2006
According to Ludwig Boltzmann, the job of Statistical Mechanics is basically to count the
number of quantum-mechanical states (or microstates) associated to a g
STATISTICAL MECHANICS PHY5524
HOMEWORK 7
(March 14, 2006)
Due on Wednesday, March 22, 2006
PROBLEM 19
Solve the other problem from the Midterm exam. Please resist the urge to look at the
online solutions.
PROBLEM 20 (Comprehensive Exam Fall 1999)
A solid
STATISTICAL MECHANICS PHY5524
HOMEWORK 11
(April 9, 2006)
Due on Wednesday, April 19, 2006
PROBLEM 31 (Pathria Problem 7.27)
Consider the problem of the vibrational modes in a solid satisfying the following dispersion relation:
(k) = A|k|s Ak s ,
where A
STATISTICAL MECHANICS PHY5524
HOMEWORK 10
(April 4, 2006)
Due on Wednesday, April 12, 2006
PROBLEM 28
An ideal Fermi gas is in contact with a thermal/particle reservoir at a temperature T and
chemical potential obeys the following ultra-relativistic dispe
STATISTICAL MECHANICS PHY5524
HOMEWORK 9
(April 3, 2006)
Due on Wednesday, April 5, 2006
PROBLEM 25
Use my wonderful notes (or whatever material you nd appropriate) to compute the rst
quantum correction to various classical ideal gas observables. Note tha
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Physics 5524 Statistical Mechanics Problem Set 12 Due: Wednesday, Apr. 22
11.3 Cont'd. In Problem 11.3 you (hopefully) found that the one-particle density of states for a 2D nonrelativistic gas of spin-1/2 fermions confined to an area A is given by, a(E)
Physics 5524
Statistical Mechanics
Problem Set 11
Due: Wednesday, Apr. 14
11.1 Problem 18, Chapter 7 of Pathria, Pg. 191.
11.2 Consider a gas of photons with dispersion (k ) = c|k | where c is the speed of light.
The photons are conned to a three-dimensio
Physics 5524
Statistical Mechanics
Problem Set 10
Due: Wednesday, Apr. 7
10.1 In 1995 Bose-Einstein condensation was realized experimentally for dilute gases of alkali
atoms (Li, Na, K, Rb, Cs). Unlike He4 , these gases are suciently dilute to be well des
Physics 5524
Statistical Mechanics
Problem Set 9
Due: Wednesday, Mar. 31
9.1 (From the Fall 2006 Qualifying Exam)
A system of N bosons in two dimensions has an energy-momentum relationship E = cp3/2
and number density n = N/A (A is the area).
(a) Show tha
Statistical Mechanics - PHY 5524
Final Exam April 25, 2008
1. (35 pts) Consider a gas of photons with dispersion = c|k| where c is the speed of light. The photons are confined to a three-dimensional volume V and are in thermal equilibrium at temperature T
Statistical Mechanics - PHY 5524
Final Exam April 27, 2009
1. (50 pts) Consider a three-dimensional gas of N noninteracting bosons in a volume V with energy dispersion E(k) = hv|k| where v has units of velocity. (a) Determine the one-particle density of s
STATISTICAL MECHANICS PHY5524
HOMEWORK 8
(March 21, 2006)
Due on Wednesday, March 29, 2006
PROBLEM 22 (Comprehensive Exam Fall 1998)
The thermodynamic potential (often called the Landau or the grand potential) for a Bose/Fermi
system is given by:
[(, T, V