A small step in the potential energy is introduced into the one-dimensional square-well problem as in Fig.

Question:

A small step in the potential energy is introduced into the one-dimensional square-well problem as in Fig. 9.45.
(a) Write a general expression for the first -order correction to the ground-state energy, Ebl).
(b) Evaluate the energy correction for a = L/1O (so the blip in the potential occupies the central 10 per cent of the well), with n = 1.