PHY 5524: Statistical Mechanics
March 27th , 2013
Assignment # 10, Solutions
Problem 1
An ideal Bose gas that is in contact with a thermal/particle reservoir at a temperature
T and chemical potential
PHY 5524: Statistical Mechanics
January 30th , 2013
Assignment # 4, Solutions
Problem 1
Consider the problem of N spin-1/2 particles (e.g. electrons) occupying the N sites of a onedimensional lattice
Name:
PHY 5524: Statistical Mechanics, Spring 2013
February 11th , 2013
Midterm Exam # 1
Always remember to write full work for what you do. This will help your grade in
case of incomplete or wrong an
PHY 5524: Statistical Mechanics
April 10th , 2013
Assignment # 12, Solutions
Problem 1
An ideal Bose gas that is in contact with a thermal/particle reservoir at temperature
T and chemical potential ob
Name:
PHY 5524: Statistical Mechanics, Spring 2013
April 1st , 2013
Midterm Exam # 2, Solutions
Always remember to write full work for what you do. This will help your grade in
case of incomplete or w
PHY 5524: Statistical Mechanics
April 17th , 2013
Assignment # 13, Solutions
Problem 1
Consider the problem of the vibrational modes in a solid satisfying the following dispersion relation,
(k) = A|k
PHY 5524: Statistical Mechanics
March 6th , 2013
Assignment # 9, Solutions
Problem 1
A degenerate electron gas of N particles is conned to a volume V that is in contact with
a thermal bath at zero tem
PHY 5524: Statistical Mechanics
April 3rd , 2013
Assignment # 11, Solutions
Problem 1
An ideal Bose gas contained in a box of xed volume V consists of N noninteracting
bosons of mass M each of which p
PHY 5524: Statistical Mechanics
February 27th , 2013
Assignment # 8, Solutions
Problem 1
The thermodynamic potential (often called the Landau or grand potential ) for a Bose/Fermi
system is given by,
PHY 5524: Statistical Mechanics
February 20th , 2013
Assignment # 7, Solutions
Problem 1
Two non-interacting particles inhabit a potential well such that the orbital motion of
each particle gives rise
PHY 5524: Statistical Mechanics
February 6th , 2013
Assignment # 5, Solutions
Problem 1
Consider a classical system of N non-interacting diatomic molecules enclosed in a box of volume
V at temperature
PHY 5524: Statistical Mechanics
January 23rd , 2013
Assignment # 3, Solutions
Problem 1
Consider a system of N identical but distinguishable particles, each of which has two energy levels
( ). Using t
PHY 5524: Statistical Mechanics
January 16th, 2013
Assignment # 2, Solutions
Problem 1
Consider the problem of an isolated particle of mass m moving freely in a one-dimensional box of
size L. Such a p
PHY 5524: Statistical Mechanics
February 13th , 2013
Assignment # 6, Solutions
Problem 1
We have shown in class that in the canonical ensemble, where the energy of the system uctuates,
the mean-square