Answer to Question #9429 in Quantum Mechanics for Najib Yusuf Galadanci

Question

The unpertubed Haniltonian of harmonic oscillator is given as: H0= P2/ 2m+ ½ mω2x2. If the intereaction Hˈ(x)=bx is added to the unpertubed Hamiltonian, where b is a constant. Find (i) The exact calculation of the Energy. (ii) Use Pertubation theory to find the first non-vanishing correction to the energy. (iii) Compare and contrast (i) and (ii)