55 citations · 206 across the 32 of their papers we have counts for
10 papers · 1 filter
A polynomial class of algebras
M. Daoud, W. S. Chung
A -parameter algebra is introduced. Finite unitary representations are investigated. This polynomial algebra reduces via a contraction proce…
Generalized fermion algebra
Won Sang Chung, Mohammed Daoud
A one-parameter generalized fermion algebra is introduced. The Fock representation is studied. The associated coherent states are constructed and the polynomial rep…
Even and odd generalized hypergeometric coherent states
Won Sang Chung, Mahouton Norbert Hounkonnou, Sama Arjika
In this paper, we investigate a large class of generalized hypergeometric states , depending on a complex variable and two sets of parameters, …
Generalized q-deformed Tamm-Dancoff oscillator algebra and associated coherent states
Won Sang Chung, Mahouton Norbert Hounkonnou, Sama Arjika
In this paper, we propose a full characterization of a generalized deformed Tamm-Dancoff oscillator algebra and investigate its main mathematical and physical properties. Speci…
Symmetric Tamm-Dancoff q-oscillator: representation, quasi-Fibonacci nature, accidental degeneracy and coherent states
Won Sang Chung, A. M. Gavrilik, I. I. Kachurik +1
In this paper we propose a symmetric q-deformed Tamm-Dancoff (S-TD) oscillator algebra and study its representation, coordinate realization, and main properties. In particular, the…
How to commute
Andreas Aste, Won Sang Chung
A simple exposition of the rarely discussed fact that a set of free boson fields describing different, i.e. kinematically different particle types can be quantized with mutual anti…
Three types of polynomials related to q-oscillator algebra
Won Sang Chung, Mahouton Norbert Hounkonnou, Sama Arjika
This work addresses a full characterization of three new q-polynomials derived from the oscillator algebra. Related matrix elements and generating functions are deduced. Furthe…
On the representation of the position operator and Lie-Hamilton equation in the discrete momentum space
Won Sang Chung
In this paper the representation of the position operator and the Lie-Hamilton equation in the discrete momentum space.
On the representation of $A_{\kk}(2)$ algebra and $A_{\kk}(d)$ algebra
Won Sang Chung
In this paper the representation of $A_{\kk}(2)$ algebra given by Daoud and Kibler [M.Daoud and M.Kibler, J.Phys.A 43 115303 (2010), 45 244036 (2012)] is investigated. It is shown…
Study on the mechanical system related to Hahn's discrete time derivative
Won Sang Chung, Min Jung
In this paper, we use the quantum variational calculus related to Hahn's discrete time derivative construct the deformed version for the classical mechanics related to the Hahn's c…