A system described by the Hamiltonian matrix \(\mathrm{H}_0=\left(\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right) \) is perturbed by \(\mathrm{H}^{\prime}=\left(\begin{array}{ll}δ & δ \\ δ & δ\end{array}\right)\) where (δ < < 1). The energy eigen values of the perturbed system within first order perturbation theory are :
1
(1 + δ) and (1 - 2δ)
2
(1 + δ) and (1 - δ)
3
(1 + 2δ) and (1 - 2δ)
4
1 and (1 + 2δ)
5
Question Not Attempted