Solving for Virial Theorem (look at image attached for better symbol representation)
a. In a one-dimensional problem, consider a particle with the Hamiltonian:
H = p^2/2m + V(X)
where: V(C) = lambaX^n
Calculate the commutator [H, XP]. If there exists one or several stationary states |> in the potential V, show that the mean values <T> and <V> of the kinetic and potential energies in these states satisfy the relation: 2<T> = n<V>© BrainMass Inc. brainmass.com March 5, 2021, 1:12 am ad1c9bdddf
The solution gives proof of virial theorem with full details, detailing the relation between averaged kinetic and potential energy in a quantum mechanical stationary state in a power law potential is considered.