Introduction to Quantum Mechanics · Problem 8.1

The Variational Principle — David J. Griffiths

Physics — Quantum Mechanics · variational_principle_bounds

Problem

Use a gaussian trial function (Equation 8.2) to obtain the lowest upper bound you can on the ground state energy of (a) the linear potential:

V(x) = \alpha|x|

; (b) the quartic potential:

V(x) = \alpha x^4