Homework 2
Problem I.
Consider a system of three particles. Assume each particle can occupy either of 3 energy
levels, , 2, and 3.
1. What are the possible values of the total energy E of this system?
Homework 6
Problem 1
Consider a diatomic molecule with two identical atoms (each of mass m) separated by
distance D. The kinetic energy of the molecule is the sum of kinetic energies of two
atoms
T=
2
Homework 3.
Problem 1.
Evaluate multidimensional integral VN = . dx1.dx N where the integration area is
N
restricted by 0 xr L and all xr are positive.
r =1
Solution.
The easiest way to solve the prob
Homework 5
Problem 1.
An extreme relativistic gas of indistinguishable particles in a volume V is characterized
by the single particle energy states
(p)=pc
where c is the light velocity. Assume the pa
Homework 4
Problem 1. (see Pathria, 3.15)
Consider classical gas of N relativistic indistinguishable particles in volume V each
described by the Hamiltonian H(p,q)=pc. Using canonical ensemble theory
Problem I (10 points). Ideal Gas in 1 Dimension.
Consider an ideal gas of classical non-relativistic indistinguishable particles living in a
thin long cylinder of the length L, that is each particle c
Homework 8.
Problem 1.
Consider a gas of free electrons in volume V. Assume the limit of high temperatures so
that the Maxwell Boltzmann statistics can be applied instead of Fermi Dirac statistics.
1.
Homework 7.
Problem 1. (Pathria 7.13)
Consider an ideal Bose gas confined to a region of area A in two dimensions.
1. Express the number of particles in the excited states, Ne, and the number of
parti
Homework 1
1. A cube of ice having temperature Tice<273K is placed into the lake with Tlake>273K.
Calculate the change in the entropy of the cube-lake system as it comes to the thermal
equilibrium. As