Applications of the DeSitter group in quantum mechanics
Creators
Description
The DeSitter group, SO(4,1), and DeSitter space are described and certain of the geometric properties of DeSitter space are discussed in terms of notions from fiber bundle theory. A simple model for the Hydrogen atom using fiber bundle concepts is presented. The construction of the principal continuous series of unitary representations of the simply-connected covering group of the DeSitter group on unitary irreducible representation spaces of the Poincare group is presented. A simple method of computing the matrix elements of the generators of the DeSitter group in an SO(4) basis is obtained. The DeSitter symmetry of the Dirac equation is described. Boehm's relativistic rotator model is discussed. It is compared with the experimental data on mesons
Availability note (English)
University Microfilms Order No. 83-09,176.Additional details
Publishing Information
- Imprint Pagination
- 195 p.
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 16003649
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Thesis, Non-conventional Literature
- Descriptors DEI
- ATOMIC MODELS; DE SITTER GROUP; DIRAC EQUATION; HYDROGEN; IRREDUCIBLE REPRESENTATIONS; MATHEMATICAL SPACE; MATRIX ELEMENTS; MESONS; PARTICLE MODELS; QUANTUM MECHANICS; SO GROUPS; UNITARY SYMMETRY
- Descriptors DEC
- BOSONS; DIFFERENTIAL EQUATIONS; ELEMENTARY PARTICLES; ELEMENTS; EQUATIONS; FIELD EQUATIONS; HADRONS; LIE GROUPS; MATHEMATICAL MODELS; MECHANICS; NONMETALS; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; SYMMETRY; SYMMETRY GROUPS; WAVE EQUATIONS