Tuesday, January 28, 2020

Variational Perturbation Theory of the Confined Hydrogen Atom

by H. E. Montgomery, Jr.


Chemistry Department, Centre College, 600 West Walnut Street, Danville, KY 40422-1394, USA
Received: 28 March 2001 / Accepted: 15 June 2001 / Published: 16 June 2001

Abstract

: 
Variational perturbation theory was used to solve the Schrödinger equation for a hydrogen atom confined at the center of an impenetrable cavity. Ground state and excited state energies and expectation values calculated from the perturbation wavefunction are comparable in accuracy to results from direct numerical solution.
Keywords:
 Perturbation theory; confined systems; one-electron atoms

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