Dissertation/Thesis Abstract

Analytic Continuation of Matrix Continued Fractions in Relativistic Resonant States
by Shannon, Taylor, M.S., California State University, Long Beach, 2019, 39; 22583573
Abstract (Summary)

In this thesis we use integral equation formalism to solve the Feshbach-Villars equations for relativistic spin-zero particles. The Coulomb Hamiltonian of the Feshbach-Villars equations in the Coulomb-Sturmian basis is represented by an infinite block tridiagonal matrix. Consequently, its resolvent can be calculated by a matrix continued fraction. This continued fraction does not naturally converge in the whole complex energy plane. By calculating the limit of the matrix continued fraction, we expedite the convergence and achieve analytic continuation into the whole complex energy plane. This allows us to find resonant states of spin-0 particles.

Indexing (document details)
Advisor: Papp, Zoltan
Commitee: Bill, Andreas, Jaikumar, Prashanth
School: California State University, Long Beach
Department: Physics and Astronomy
School Location: United States -- California
Source: MAI 81/4(E), Masters Abstracts International
Subjects: Quantum physics
Publication Number: 22583573
ISBN: 9781687914682
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