Generalized Jaynes-Cummings Hamiltonians by shape-invariant hierarchies and their SUSY partners
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol.39, no.36, pp.11301-11311, 2006 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 39 Issue: 36
- Publication Date: 2006
- Doi Number: 10.1088/0305-4470/39/36/011
- Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.11301-11311
- Ankara University Affiliated: Yes
Abstract
A generalization of the matrix Jaynes-Cummings model in the rotating wave approximation is proposed by means of the shape-invariant hierarchies of scalar factorized Hamiltonians. A class of Darboux transformations (sometimes called SUSY transformations in this context) suitable for these generalized Jaynes-Cummings models is constructed. Finally one example is worked out using the methods developed.