39 citations · 109 across the 16 of their papers we have counts for
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Nonstandard Deformed Oscillators from - and -Deformations of Heisenberg Algebra
Alexandre M. Gavrilik, Ivan I. Kachurik
For the two-parameter -deformed Heisenberg algebra introduced recently and in which, instead of usual commutator of and in the l.h.s. of basic relation $[X,P] = {\rm i…
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…
Three-parameter (two-sided) deformation of Heisenberg algebra
A. M. Gavrilik, I. I. Kachurik
A 3-parametric two-sided deformation of Heisenberg algebra (HA), with p,q-deformed commutator in the l.h.s. of basic defining relation and certain deformation of its r.h.s., is int…
Quasibosons composed of two q-fermions: realization by deformed oscillators
A. M. Gavrilik, I. I. Kachurik, Yu. A. Mishchenko
Composite bosons, here called {\it quasibosons} (e.g. mesons, excitons, etc.), occur in various physical situations. Quasibosons differ from bosons or fermions as their creation an…