Date of Award
Department of Physics
Dr. Carlos Handy
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.
Ndow, G L., "Euclidean-time formulation of the eigenvalue moment method for finite dimensional systems" (1992). ETD Collection for AUC Robert W. Woodruff Library. 3767.