Generalized Jaynes-Cummings Hamiltonians by shape-invariant hierarchies and their SUSY partners


Hussin V., KURU Ş., Negro J.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.39, sa.36, ss.11301-11311, 2006 (SCI-Expanded) identifier identifier

Özet

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.