We present a formulation of deformed oscillator algebra which leads to intermediate statistics as a continuous interpolation between Bose–Einstein and Fermi–Dirac statistics. It is deduced that a generalized permutation or exchange symmetry leads to the introduction of the basic number and...

This is a study of q-Fermions resulting from q-deformed algebra of harmonic oscillators arising from two distinct algebras. Employing the first algebra, the Fock states are constructed for the generalized Fermions obeying Pauli exclusion principle. The distribution function and other...

The intimate connection between q-deformed Heisenberg uncertainty relation and the Jackson derivative (JD) based on q-basic numbers has been noted in the literature. The purpose of this work is to establish this connection in a clear and self-consistent formulation and to show explicitly how the...

The thermostatistics of q-deformed bosons and fermions can be built on the formalism of q-calculus. As in nonextensive statistics, the entire structure of thermodynamics is preserved but there are crucial differences between the two theories. We derive the most important thermodynamic functions...

We present a theory of quantized radiation fields described in terms of q-deformed harmonic oscillators. The creation and annihilation operators satisfy deformed commutation relations and the Fock space of states is constructed in this formalism in terms of basic numbers familiar from the theory...

We study an effective relativistic mean-field model of nuclear matter with arbitrary proton fraction at finite temperature in the framework of nonextensive statistical mechanics, characterized by power-law quantum distributions. We investigate the presence of thermodynamic instability in a warm...

Test particles interact with a medium by means of a bimolecular reversible chemical reaction. Two species are assumed to be much more numerous so that they are distributed according to fixed distributions: Maxwellians and Dirac's deltas. Equilibrium and its stability are investigated in the...

The canonical probability distribution function (pdf) obtained by optimizing the Tsallis entropy under either the linear mean energy constraint U or the escort mean energy constraint U<Subscript>q</Subscript> suffer self-referentiality. In a recent paper [Phys. Lett. A <Emphasis Type="Bold">335, 351 (2005)] the authors have shown that the...</emphasis></subscript>

The study of behavioural and social phenomena has experienced a surge of interest over the last decade. One reason for this great attention is the huge amount of high quality data made available by the internet technologies. The many studies spanning concepts and problems belonging to economics,...