A particle of mass m is in the ground state in the harmonic oscillator potential
V(x) = (1/2)Kx^2
A small perturbation (beta)x^6 is added to this potential.
a) What are the units of beta?
b) How small must beta be in order for perturbation theory to be valid?
c) Calculate the first-order change in the energy of the particle.
This solution helps with a perturbation theory problem.