A Modern Approach to Quantum Mechanics · Problem 12.7

Scattering — John S. Townsend

Physics — Quantum Mechanics · variational-method-linear-potential

Problem

Use as a trial wave function the Gaussian ψ(x)=(bπ)1/4e−bx2/2\psi(x) = \left(\frac{b}{\pi}\right)^{1/4} e^{-bx^2/2} to obtain an estimate of the ground-state energy for the linear potential energy V(x)=a∣x∣V(x) = a|x|.

Related theory

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