Discuss the below:
Internal Energy of N Anharmonic Oscillators
Q: A system is composed of N one dimensional classical oscillators. Assume that the potential for the oscillators contains a small quartic "anharmonic" term
V(x) = (m*Ω^2)/2 + a*x^4
Where a*(x^4) <<< KB T and (x^4) = average value
Calculate the average energy per oscillator to the first order