8 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
Shape invariant potential formalism for photon-added coherent state construction
An algebro-operator approach, called shape invariant potential method, of
constructing generalized coherent states for photon-added particle system is
presented. Illustration is given on Poschl-Teller potential
On Hilbert-Schmidt operator formulation of noncommutative quantum mechanics
This work gives value to the importance of Hilbert-Schmidt operators in the
formulation of a noncommutative quantum theory. A system of charged particle in
a constant magnetic field is investigated in this framework