39 citations · 109 across the 16 of their papers we have counts for
16 papers
New Deformed Heisenberg Algebra from the -Deformed Model of Dark Matter
A. M. Gavrilik, I. I. Kachurik, A. V. Nazarenko
Recently, the -deformation-based approach to modeling dark matter, which exploits -deformed thermodynamics, was extended to the study of galaxy halo density profile and of th…
Galaxy rotation curves in the -deformation based approach to dark matter
A. M. Gavrilik, I. I. Kachurik, M. V. Khelashvili
We elaborate further the -deformation-based approach to modeling dark matter, in addition to the earlier proposed use of -deformed thermodynamics. Herein, we construct -de…
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…
Condensate of -Bose gas as a model of dark matter
A. M. Gavrilik, I. I. Kachurik, M. V. Khelashvili +1
Though very popular, Bose-Einstein condensate models of dark matter have some difficulties. Here we propose the so-called -Bose gas model (-BGM) as a model of dark matter, ab…
The use of -Bose gas model for effective modeling of dark matter
A. M. Gavrilik, I. I. Kachurik, M. V. Khelashvili +1
For the recently introduced -deformed analog of Bose gas model (-Bose gas model), its thermodynamical aspects e.g. total number of particles and the partition function are ce…
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…
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…
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…
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…
Thermostatistics of μ-deformed analog of Bose gas model
A. M. Gavrilik, I. I. Kachurik, A. P. Rebesh
For the recently introduced μ-deformed analog of Bose gas model (μ-Bose gas model) we study some thermodynamical aspects. Namely, we calculate total number of particles and, from i…
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…
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…
Baryon Decuplet Masses From the Viewpoint of q-Equidistance
A. M. Gavrilik, I. I. Kachurik, A. V. Tertychnyj
Masses of baryons {3/2}^+ are calculated on the base of representations of dynamical "pseudounitary" q-deformed algebra u(4,1)_q which provides necessary breaking of the 4-flavor s…
Linking the parameters of diquark-quark model to the Cabibbo angle
A. M. Gavrilik, I. I. Kachurik
From two different modifications of the Gell-Mann-Okubo mass relation for (1/2)^+ baryons: the first one given by a version of diquark-quark model and the second one being the opti…