Introduction to Quantum Mechanics · Problem 8.3

The Variational Principle — David J. Griffiths

Physics — Quantum Mechanics · variational_delta_potential

Problem

Find the best bound on

E_{\text{gs}}

for the delta function potential

V(x) = -\alpha\delta(x)

, using a triangular trial function (Equation 8.10, only centered at the origin). This time

a

is an adjustable parameter.