Dissertation/Thesis Abstract

Matrix continued fraction approach to the relativistic quantum mechanical spin-zero Feshbach-Villars equations
by Brown, Natalie, M.S., California State University, Long Beach, 2015, 49; 1597738
Abstract (Summary)

In this thesis we solve the Feshbach-Villars equations for spin-zero particles through use of matrix continued fractions. The Feshbach-Villars equations are derived from the Klein-Gordon equation and admit, for the Coulomb potential on an appropriate basis, a Hamiltonian form that has infinite symmetric band-matrix structure. The corresponding representation of the Green's operator of such a matrix can be given as a matrix continued fraction. Furthermore, we propose a finite dimensional representation for the potential operator such that it retains some information about the whole Hilbert space. Combining these two techniques, we are able to solve relativistic quantum mechanical problems of a spin-zero particle in a Coulomb-like potential with a high level of accuracy.

Indexing (document details)
Advisor: Papp, Zoltan
Commitee: Gu, Jiyeong, Jaikumar, Prashanth
School: California State University, Long Beach
Department: Physics and Astronomy
School Location: United States -- California
Source: MAI 55/01M(E), Masters Abstracts International
Source Type: DISSERTATION
Subjects: Mathematics, Quantum physics, Physics
Keywords: Mathematical physics, Relativisitic quantum mechanics
Publication Number: 1597738
ISBN: 9781339012087
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