BRAID GROUP-RELATED ALGEBRAS, THEIR REPRESENTATIONS AND GENERALIZED HYDROGENLIKE SPECTRA
JOURNAL OF MATHEMATICAL PHYSICS, vol.35, no.6, pp.3074-3088, 1994 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 35 Issue: 6
- Publication Date: 1994
- Doi Number: 10.1063/1.530506
- Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.3074-3088
- Yıldız Technical University Affiliated: Yes
Abstract
Representations of the n-braid group where generators are given by matrices whose elements belong to a noncommutative algebra are discussed. Representation of this algebra in a Hilbert space generalizes the Burau representation. Two algebras which are closely related and are physically indistinguishable provided that a particular eigenvalue is fine tuned are discussed. It is shown that the generalized oscillator system given by one of the algebras generates a hydrogenlike spectrum.