One dimensional harmonic oscillator has the Hamiltonian
Show that the eigenvalue spectrum of H(hat) is
I've managed to show this
Suppose the real constant C is added to the Hamiltonian H(hat) to give the new Hamiltonian
H(hat)' = H(hat) + C
What is the eigenvalue spectrum of H(hat)' ?
I am afraid I have no idea how to go about this question!