Perturbation theory & Approximation Methods

Consider a system in the unperturbed state described by the Hamiltonian, 0 1 0 0 1 H       . The system is subjected to a perturbation of the form H         , where 1   . The energy eigenvalues of the perturbed system using the first order perturbation approximation are

Options:

• (A) 1 and $(1 + 2\delta)$
• (B) $(1 + \delta)$ and $(1 - \delta)$
• (C) $(1 + 2\delta)$ and $(1 - 2\delta)$
• (D) $(1 + \delta)$ and $(1 - 2\delta)$