A particle of mass m and energy E is incident from the left on the potential(a) If the inc...

A particle of mass m and energy E is incident from the left on the potential

(a) If the incoming wave is Ae'kx (where ), find the reflected wave.

Answer

, where  .

(b) Confirm that the reflected wave has the same amplitude as the incident wave.

(b) Find the phase shift δ (Equation 1) for a very deep well (E « v0)

Answer: δ = —ka.

Equation 1

Ψo(x) = A(eikx – e-ikx) (V(x) = 0).