arXiv subjects

E. B. Ngompe Nkouankam

Publications and source records attributed to E. B. Ngompe Nkouankam.

2 recordsLinked to original sources

arXiv2011

Unified $(p,q;α,β,ν;γ)-$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.

math-ph↗

arXiv2010

$(q,μ)$ and $(p,q,ζ)-$exponential functions: Rogers-Szegő polynomials and Fourier-Gauss transform

From the realization of $q-$oscillator algebra in terms of generalized derivative, we compute the matrix elements from deformed exponential functions and deduce generating functions associated with Rogers-Szegő polynomials as well as their relevant properties. We also compute the matrix elements associated to the $(p,q)-$oscillator algebra (a generalization of the $q-$one) and perform the Fourier-Gauss transform of a generalization of the deformed exponential functions.

math-ph↗