This Licentiate Thesis contains the following papers: 1. Ernst T., Silvestrov SD: Shift
difference equations, symmetric polynomials and representations of the symmetric group …

This work has been motivated through the paper [42] by S. Dey on the nonclassical
properties of the deformed harmonic oscillators. We study the dynamics of the nonclassical …

Noncommutative algebras, rings and other noncommutative objects, along with their more
classical commutative counterparts, have become a key part of modern mathematics …

Abstract Though very popular, Bose–Einstein condensate models of dark matter have some
difficulties. Here we propose the so-called μ-Bose gas model (μ-BGM) as a model of dark …

Composite bosons (or quasibosons), as recently proven, are realizable by deformed
oscillators and due to that can be effectively treated as particles of non-standard statistics …

In the study of many-particle systems both the interaction of particles can be essential and
such feature as their internal (composite) structure. To describe these aspects, the theory of …

Composite bosons, here called quasibosons (eg mesons, excitons, etc), occur in various
physical situations. Quasibosons differ from bosons or fermions as their creation and …

In the present work, we examine qualitatively the entanglement and parameter estimation in
a two superconducting qubits (SC-qubits) coupled to a nonlinear field in the existence of …

In the recently proposed two-parameter μ˜, q-deformed Bose gas model (Gavrilik and
Mishchenko, 2013)[3], aimed to take effectively into account both compositeness of particles …

We review on and give some further details about the thermodynamical properties of the\mu-
Bose gas model (arXiv: 1309.1363) introduced by us recently. This model was elaborated in …