74 research outputs found
Generalized photon-added associated hypergeometric coherent states: characterization and relevant properties
This paper presents the construction of a new set of generalized photon-added
coherent states related to associated hypergeometric functions introduced in
our previous work (Hounkonnou M N and Sodoga K, 2005, J. Phys. A: Math. Gen 38,
7851). These states satisfy all required mathematical and physical properties.
The associated Stieltjes power-moment problem is explicitly solved by using
Meijer's G-function and the Mellin inversion theorem. Relevant quantum optical
and thermal characteristics are investigated. The formalism is applied to
particular cases of the associated Hermite, Laguerre, Jacobi polynomials and
hypergeometric functions. Their corresponding states exhibit sub-Poissonian
photon number statistics
Unified deformed oscillator algebra: irreducible representations and induced deformed harmonic oscillator
A new deformed canonical commutation relation, generalizing various known
deformations, is defined together with its structure function of deformation.
Then, the related irreducible representations are characterized and classified.
Finally, the discrete spectrum of the corresponding deformed harmonic
oscillator Hamiltonian is investigated and discussed
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