## Electronic Theses and Dissertations

1989

Doctoral Thesis

Ph.D.

Physics

Schlesinger, M.,

#### Keywords

Physics, Nuclear.

#### Rights

info:eu-repo/semantics/openAccess

The unitary group approach to angular momentum theory is applied to evaluate matrix elements of the nuclear spin-spin coupling Hamiltonian. The important case of two spin $-{1\over 2}$ particles in an external field which is a prototypical case for many NMR studies is analyzed in the framework of the unitary group approach. To aid in the evaluation of matrix elements of the nuclear spin-spin coupling Hamiltonian for higher spin nuclei, we introduce simple factorization schemes for evaluating two body operator matrix elements in the Unitary Group Approach. The results are applied to an $A\sb4 B\sb3$ system and compared with previous results in the literature. A method of relating matrix elements of two-body operators for larger systems to smaller systems is discussed. Some of the techniques for the simplification of two-body operator matrix elements may be useful in other physical applications of the unitary group approach.Dept. of Physics. Paper copy at Leddy Library: Theses & Major Papers - Basement, West Bldg. / Call Number: Thesis1990 .P655. Source: Dissertation Abstracts International, Volume: 52-11, Section: B, page: 5896. Chairman: M. Schlesinger. Thesis (Ph.D.)--University of Windsor (Canada), 1989.