Dissertation/Thesis Abstract

Relativistic Spin-0 Feshbach-Villars Equation for Polynomial Potentials
by Mehr Motamedi, Bita, M.S., California State University, Long Beach, 2020, 47; 28028314
Abstract (Summary)

In this thesis we introduce a solution method for studying relativistic spin-0 particles. We solve the linearized Klein-Gordon equation; known as the Feshbach-Villars equation and express the formalism in an integral equation form. The integral equation is represented in the Coulomb-Sturmian basis. This basis allows an efficient calculation of the Green’s operator in terms of matrix continued fraction. In this approach, the asymptotically relevant terms of the Hamiltonian are kept in the Green’s operator. We determine the relativistic bound states of a spin-0 particle in a Coulomb-like vector potential plus a linear or quadratic confining scalar potential. We compare our results with the direct numerical solution of the Klein-Gordon differential equation and find perfect agreements.

Indexing (document details)
Advisor: Papp, Zoltan
Commitee: Jaikumar, Prashanth, Klaehn, Thomas
School: California State University, Long Beach
Department: Physics and Astronomy
School Location: United States -- California
Source: MAI 82/6(E), Masters Abstracts International
Subjects: Applied physics, Particle physics, Energy
Keywords: Spin-0 particles, Klein-Gordon equation
Publication Number: 28028314
ISBN: 9798698594864
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