Keywords

Adiabatic invariants, Schrodinger equation, Hyperspherical radial equation, Coupled first-order linear equations, Two-electron systems, Nonadiabatic formalism, Consistency of reduction method

Abstract

In this paper we examine the effectiveness of reducing the second order radial equation, of the hyperspherical coordinate solution to the two-electron Schrodinger equation, into a set of coupled first order linear equations as suggested by Klar. All results have been obtained in a completely nonadiabatic formalism thereby ensuring accuracy. We arrive at the conclusion that our application of the reduction process is in some way inconsistent and suggest a possible resolution to this anomaly.

Notes

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Graduation Date

1987

Semester

Summer

Advisor

Caldwell, C. Denise

Degree

Master of Science (M.S.)

College

College of Arts and Sciences

Department

Physics

Format

PDF

Pages

59 pages

Language

English

Rights

Public Domain

Length of Campus-only Access

None

Access Status

Masters Thesis (Open Access)

Identifier

DP0020539

Subjects

Schrödinger equation; Few-body problem; Nonrelativistic quantum mechanics; Electron-electron interactions; Reduction (Chemistry)--Mathematical models

Accessibility Status

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