A Guide to Physics Problems. Part 2. Thermodynamics, Statistical Physics, and Quantum Mechanics

QUANTUM MECHANICS 309

5.57 Charge and Plane (Stony Brook)

In the WKB approximation

or, betweenturningpoints,

Substituting(S.5.57.1)into(S.5.57.2) and using thesymmetry of the motion

about we obtain

Thus,

b) For the potential where

the quantizationconditiongives

a) Since we maywrite