Date of Award

7-1-1987

Degree Type

Thesis

University or Center

Atlanta University (AU)

School

School of Arts and Sciences

Degree Name

M.S.

Department

Physics

Abstract

Nonperturbative solutions to the Hubbard model are found by using the functional derivative method. A system of closed equations is obtained for the Green's functions of the Hubbard model. Exact expressions for the self-energy are derived which involve only first order functional derivatives. A scheme is proposed for systematically calculating self-energy corrections. We apply the solution to finite rings of two and four lattice sites and compare to the results of numerical calculations on these systems.

Included in

Physics Commons

Share

COinS