New classes of nonlinear vector coherent states of generalized spin-orbit Hamiltonians - Mathematical PhysicsReport as inadecuate




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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.



Author: Joseph Ben Geloun, Mahouton Norbert Hounkonnou

Source: https://arxiv.org/



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