# Unknown equation

Does anyone recognize this equation?

$$\frac{k_BT}{2} = \alpha\frac{<x^2>}{2}$$

What does it describe?

## Answers and Replies

It look like something to do with Energy. Because the LHS has the unit of energy, while the RHS, hmm, looks a bit strange...

CompuChip
Science Advisor
Homework Helper
Doesn't it have to do with ideal gas in a box?

It is the average potential energy of a harmonic oscillator in the high temperature limit.