Evaluation of two-body operator matrix elements in the unitary group approach with applications to nuclear magnetic resonance.

摘要

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 $-{1over 2}$ 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 $Asb4 Bsb3$ 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 u26 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.