Dissertation/Thesis Abstract

Green's operator for Hamiltonians with Coulomb plus polynomial potentials
by Hyder, Asif M., M.S., California State University, Long Beach, 2012, 61; 1521625
Abstract (Summary)

In the Coulomb-Sturmian basis the Hamiltonian for a quantum mechanical system with Coulomb plus polynomial potentials exhibits a band-matrix structure. A band-matrix can be considered as a tridiagonal matrix of matrices. This conversion allows for inversion of the infinite matrix to determine the Green's operator of the system. The infinite structure is only simplified during the inversion by using continued fractions which can be solved to the accuracy required.

Indexing (document details)
Advisor: Papp, Zoltan
Commitee: Bill, Andreas, Papp, Zoltan, Peterson, Michael
School: California State University, Long Beach
Department: Physics and Astronomy
School Location: United States -- California
Source: MAI 51/04M(E), Masters Abstracts International
Subjects: Quantum physics, Theoretical physics
Publication Number: 1521625
ISBN: 978-1-267-79054-5
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