39 citations · 109 across the 16 of their papers we have counts for
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Pseudo-Hermitian position and momentum operators, Hermitian Hamiltonian, and deformed oscillators
A. M. Gavrilik, I. I. Kachurik
The recently introduced by us two- and three-parameter ()- and ()-deformed extensions of the Heisenberg algebra were explored under the condition of their direct link w…
New version of pseudo-hermiticity in the two-sided deformation of Heisenberg algebra
A. M. Gavrilik, I. I. Kachurik
The recently introduced two- and three-parameter ()- and ()-deformed extensions of the Heisenberg algebra were explored under the condition of their connectedness with…
Elements of -calculus and thermodynamics of -Bose gas model
A. P. Rebesh, I. I. Kachurik, A. M. Gavrilik
We review on and give some further details about the thermodynamical properties of the μ-Bose gas model (arXiv:1309.1363) introduced by us recently. This model was elaborated in co…
New version of -deformed supersymmetric quantum mechanics
A. M. Gavrilik, I. I. Kachurik, A. V. Lukash
A new version of the q-deformed supersymmetric quantum mechanics (q-SQM), which is inspired by the Tamm--Dankoff-type (TD-type) deformation of quantum harmonic oscillator, is const…
Two-fermion composite quasi-bosons and deformed oscillators
A. M. Gavrilik, I. I. Kachurik, Yu. A. Mishchenko
The concept of quasi-bosons or composite bosons (like mesons, excitons etc.) has a wide range of potential physical applications. Even composed of two pure fermions, the quasi-boso…