# New classes of nonlinear vector coherent states of generalized spin-orbit Hamiltonians - Mathematical Physics

New classes of nonlinear vector coherent states of generalized spin-orbit Hamiltonians - Mathematical Physics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: This paper deals with an extension of our previous work J. Phys. A: Math.Theor. {\bf 40} F817 by considering an alternative construction of canonicaland deformed vector coherent states VCSs of the Gazeau-Klauder typeassociated with generalized spin-orbit Hamiltonians. We define an annihilationoperator which takes into account the finite dimensional space of statesinduced by the $k$-photon transition processes of the two-level atominteracting with the single-mode radiation field. The class of nonlinear VCSsNVCSs corresponding to the action of the annihilation operator is deduced andexpressed in terms of generalized displacement operators. Various NVCSsincluding their -dual- counterparts are also discussed. Still by using theHilbert space structure, a new family of NVCSs parameterized by unit vectors ofthe $S^3$ sphere has been identified without making use of the annihilationoperator.

Autor: Joseph Ben Geloun, Mahouton Norbert Hounkonnou

Fuente: https://arxiv.org/