Thermodynamics, Statistical Physics, and Quantum Mechanics

310 SOLUTIONS

c) Using the boundary conditions at we obtain

It implies that the odd states, for which are not affected by
whileeven states should satisfy the condition

Since

where

this condition takes the following form:

5.58 Ramp Phase Shift (Tennessee)

The following formula is for the phase shift in one dimension where the
particle is free on the right as and encounters an
impenetrable barrier near the origin: