# System of N classical anharmonic 3d oscillators

1. Jun 24, 2013

### issler

1. Calculate the internal energy of a system of N classical anharmonic tridimensional oscillators of potential energy V(r) = k*(r^a) with k>0 a>0 and r = abs(r). Verify the result with a = 2 .

2. Jun 25, 2013

$$x(U) = \frac{1}{2\pi \sqrt{2m}} \int_0^U \frac{T(E)dE}{\sqrt{U-E}}$$?