Statistical physics:boltzman distribution

[oddiseas]

Homework Statement

A square well of length L= 0.6 mm is to be used as a trap for He atoms at 20 K. Consider the values of some of the lowest energy levels of He atoms in a 1-D square well. Explain if it is valid to use the Boltzmann distribution in this situation

Homework Equations

The Attempt at a Solution

The square well has no analytic solution, so how am i supposed to evaluate the energy levels to see if i can use a boltzman distribution?

 

[zhermes]

The square well has no analytic solution.

... Thats not true.