Degree Type

Dissertation

Date of Award

1988

Degree Name

Doctor of Philosophy

Department

Physics and Astronomy

First Advisor

Robert A. Leacock

Abstract

The classical and quantum action variable theory is extended to scattering by defining the action variable for the scattering region such that the new definition is consistent with the definition given earlier for the eigenstates. The forms of both the classical and the quantum action variables are maintained for both off-eigenstates and scattering states. The location of the turning points is studied in order to define the classical action variable and the location of the poles of the quantum momentum function is studied in order to define the quantum action variable. Two types of families of states are defined classically and quantum mechanically; radial momentum families and angular momentum families. Phase integral methods are used as one method to find the location of the poles of the quantum momentum function. The Coulomb potential is used as the main example and general methods are described for the other potentials.

DOI

https://doi.org/10.31274/rtd-180813-9427

Publisher

Digital Repository @ Iowa State University, http://lib.dr.iastate.edu/

Copyright Owner

Atulugamage Asiri Nanayakkara

Language

en

Proquest ID

AAI9114496

File Format

application/pdf

File Size

161 pages

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