Dissertation/Thesis Abstract

A Method for Achieving Analytic Formulas for Three Body Integrals Consisting of Powers and Exponentials in All Three Interparticle Hylleraas Coordinates
by Keating, Chris M., M.S., Portland State University, 2015, 40; 1606197
Abstract (Summary)

After an introduction to the variational principle of three body systems via the Helium atom, we present general analytical formulas for the radial parts of integrals that occur when three body systems are described using wave functions that consist of powers and exponentials in all three interparticle Hylleraas coordinates [Hylleraas1929]. This work is an extension of integrals given by Harris, Frolov and Smith, Jr. [Harris2004]. Specifically included are radial integrals encountered in calculations involving the dipole moment matrix element in Hylleraas coordinates that contain a function f(kr 1) (such as a spherical Bessel function) in addition to a plane wave, a hydrogenic orbital and exponentials in all three interparticle coordinates.

Indexing (document details)
Advisor: Straton, Jack C.
Commitee: La Rosa, Andres, Leung, Peter
School: Portland State University
Department: Physics
School Location: United States -- Oregon
Source: MAI 55/03M(E), Masters Abstracts International
Subjects: Quantum physics, Physics, Particle physics
Keywords: Analytical formulas, Dipole transition, Ground state wavefunctions, Hylleraas coordinates, Photodetachment, Spherical bessel function
Publication Number: 1606197
ISBN: 9781339378992
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