Fock Spaces for the Complex Dunkl Operator and Deformed (1, 1) Algebra

In this paper, we study a class of generalized Fock spaces for the complex Dunkl operator associated with the cyclic group, generalizing the Bargmann representations for Lie algebra s u (1,1)-generators. We present an explicit realization of C r -extended oscillator in terms of this operator. Furthe...

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Veröffentlicht in:	International journal of theoretical physics 2020-08, Vol.59 (8), p.2509-2528
1. Verfasser:	Mezlini, Kamel
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Deformation Elementary Particles Lie groups Mathematical analysis Mathematical and Computational Physics Operators (mathematics) Physics Physics and Astronomy Polynomials Quantum Field Theory Quantum Physics Theoretical Wave functions
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