Introduction to Quantum Mechanics · Problem 2.62

Time-Independent Schrödinger Equation — David J. Griffiths

Physics — Quantum Mechanics · non_flat_infinite_well

Problem

Suppose the bottom of the infinite square well is not flat (

V(x) = 0

), but rather

V(x) = 500\,V_0 \sin\left(\frac{\pi x}{a}\right), \quad \text{where } V_0 \equiv \frac{\hbar^2}{2ma^2}.

Use the method of Problem 2.61 to find the three lowest allowed energies numerically, and plot the associated wave functions (use

N = 100