Introduction to Quantum Mechanics · Problem 1.15

The Wave Function — David J. Griffiths

Physics — Quantum Mechanics · normalization_preservation

Problem

Show that

\frac{d}{dt}\int_{-\infty}^{\infty} \Psi_1^* \Psi_2\, dx = 0

for any two (normalizable) solutions to the Schrödinger equation (with the same

V(x)

\Psi_1

and

\Psi_2