Introduction to Quantum Mechanics · Problem 2.1

Time-Independent Schrödinger Equation — David J. Griffiths

Physics — Quantum Mechanics · harmonic_oscillator_wavefunctions

Problem

(a) Construct ψ2(x)\psi_2(x). (b) Sketch ψ0\psi_0, ψ1\psi_1, and ψ2\psi_2. (c) Check the orthogonality of ψ0\psi_0, ψ1\psi_1, and ψ2\psi_2, by explicit integration. *Hint:* If you exploit the even-ness and odd-ness of the functions, there is really only one integral left to do.

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