Black-Body Radiation. Solids.
Test 5
Stat Physics
(Dated: 05-20-2008)
1
1. For a d-dimensional solid, nd how the low temperature specic heat scales with
temperature.
Solution
Energy of the solid
Z1
z
Quantum Gases. BE Condensation.
Test 4
Stat Physics
(Dated: 04-29-2008)
1
1. For a non relativistic, degenerate Bose gas, show that, in three and four dimensions,
(@[email protected] )V;T diverges at the temperatur
Degenerate Electron Gas
Test 3
Stat Physics
(Dated: 04-22-2008)
1
1. For a relativistic, two-dimensional, completely degenerate electron gas, evaluate the
dependence of the Fermi energy on the areal d
Gibbs Distribution
Test 2
Stat Physics
(Dated: 02-26-2008)
1
1. N diatomic molecules are stuck to the metal surface of cubic crystal symmetry (square
on the surface). Each molecule can either lie at o
Ideal Gas
Final
Stat Physics
(Dated: 03-20-2008)
Abstract
Euler-Maclaurin formula
n1
k =1
n1
k =0
n
f (k )
f (k) dk
0
1
1
1
[f (n) + f (0)] +
f (n) f (0)
f (n) f (0) + . . .
2
12
720
f (k) dk
1
1
Thermodynamics
Test1
Stat Physics
(Dated: 02-07-2008)
1
1. An ideal, monatomic gas of N atoms,
P V = NT
with initial volume and pressure V0 and P0 respectively, is placed in a thermally isolated
shaft