Principles of Quantum Mechanics · Problem 21.3

Path Integrals—II — R. Shankar

Physics — Quantum Mechanics · path-integrals

Problem

Use the free-particle propagator to find Ψ(x,t)\Psi(x, t) given the initial state Ψ(x,0)=(2aπ)1/4e−ax2.\Psi(x, 0) = \left(\frac{2a}{\pi}\right)^{1/4} e^{-ax^2}. Check that your result agrees with what you would get by solving the Schrödinger equation directly.

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