43 citations · 123 across the 11 of their papers we have counts for
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math-ph2014★ 2 cited
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…
math-ph2009★ 9 cited
Polynomially deformed oscillators as k-bonacci oscillators
A. M. Gavrilik, A. P. Rebesh
A family of multi-parameter, polynomially deformed oscillators (PDOs) given by polynomial structure function ϕ(n) is studied from the viewpoint of being (or not) in the class of Fi…