Date of Award

6-1-1992

Degree Type

Thesis

Degree Name

M.S.

Department

Department of Physics

First Advisor

Dr. Carlos Handy

Abstract

The eigenvalue moment method (EMM), developed by Handy and Bessis is examined from a Euclidean time reformulation. This alternative approach offers a more elegant and rigorous analysis than the conventional EMM theory. We will look at finite matrix analogues for the Euclidean time dependent problem H'F(x,t) = dt^x.t), analyzed from a moments problem perspective. This will enable the generation of converging upper and lower bounds to the "ground state" eigenvalue without the necessity of a discretization ansatz as is the case in conventional EMM theory.

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