Introduction to Quantum Mechanics · Problem 9.12

The WKB Approximation — David J. Griffiths

Physics — Quantum Mechanics · wkb-wavefunction-half-harmonic-oscillator-plot

Problem

For the "half-harmonic oscillator" (Example 9.3), make a plot comparing the normalized WKB wave function for

n = 3

to the exact solution. You'll have to experiment to determine how wide to make the patching region. *Note*: You *can* do the integrals of

p(x)

by hand, but feel free to do them numerically. You'll need to do the integral of

|\psi_{WKB}|^2

numerically to normalize the wave function.