Thermodynamics, Statistical Physics, and Quantum Mechanics

137

The equation of state istherefore analogous to thegas in a containerwith

rigid walls, where

c) The entropy, energy, and heat capacity all follow in quicksuccessionfrom
F:

Ideal Gas in One-Dimensional Potential

(Rutgers)

a) The coordinate- and momentum-dependent parts of thepartition func-
tion can be separated. Thecoordinate-dependent part of the partition
function

For the potentialin thiscase we have

where we substituted

and

4.41

THERMODYNAMICS AND STATISTICAL PHYSICS