Fermionic q-deformation and its connection to thermal effective mass of a quasiparticle

Heat capacity of Holographic screen inspires MOND theory

“…In this study, we propose a q-deformed fermionic system, which has crucial application [31], and for example, in Refs. [24,32] some thermostatistical properties are examined and the connection between fermionic q deformation and thermal effective mass of a quasi-particle are found out.…”

“…If the value of MOND acceleration is constant, then fitting (33) to observational data, and respecting constraint (31), simultaneously, one can find proper values of g ⋆ and q. On the other, if the value of MOND acceleration is not constant and known, then this approach has three free parameters including a 0q , g and q, found out by fitting (33) to observations and also using condition (32). Such analysis can give us worthwhile info about g, q and thus, the holographic screen nature.…”

From creation and annihilation operators to statistics

“…Canonical examples are the Bose-Einstein distribution for the commutation relation [a, a † ] = 1 and the Fermi-Dirac distribution for the anti-commutation relation {a, a † } = 1. Starting from the pioneer works of Gentile [1] and Green [2], many different distributions have been proposed as extensions that go beyond or interpolate the statistics of bosons and fermions; see, for example, [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19].…”

The Statistical Properties of theq-Deformed Dirac Oscillator in One and Two Dimensions

“…They have found the spectrum and eigenvalues of such a harmonic oscillator under the assumption that there is a state with a lowest energy eigenvalue. Recently, the theory of the q-deformed has become a topic of great interest in the last few years, and it has been finding applications in several branches of physics because of its possible applications in a wide range of areas, such as a q-deformation of the harmonic oscillator [7], a q-deformed Morse oscillator [8], a classical and quantum q-deformed physical systems [9], Jaynes-Cummings model and the deformed-oscillator algebra [10], q-deformed super-symmetric quantum mechanics [11], for some modified q-deformed potentials [12], on the Thermo-statistic properties of a q-deformed ideal Fermi gas [13], Q-Deformed Tamm-Dancoff oscillators [14], q-qeformed fermionic oscillator algebra and thermodynamics [15], and finally on the fermionic q deformation and its connection to thermal effective mass of a quasi-particle [16].…”