Quantum algebras are a mathematical tool which provides us with a class of symmetries
wider than that of Lie algebras, which are contained in the former as a special case. After a …

At first only elementary functions were studied in mathematical analysis. Then new functions
were introduced to evaluate integrals. They were named special functions: integral sine …

It is noted that the study of a quantum algebra su p, q (2), with two independent deformation
parameters (p, q), leads to a'(p, q)-oscillator'realization for it. The analysis is extended to the …

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

The term'nonclassical states' refers to the quantum states that cannot be produced in the
usual sources of light, such as lasers or lamps, rather than those requiring more …

The q-deformations of the quantum harmonic oscillator are used for to describe the
generalized Jaynes-Cummings model (JCM) by using the q-analog of the Holstein-Primakoff …

In this work, we investigate thermodynamic properties and the relativistic behavior of a
neutral spin-one boson particle in one-dimensional space by means of the generalized …

In the past decade there has been an extemely rapid growth in the interest and development
of quantum group theory. This book provides students and researchers with a practical …

We consider the one-dimensional partially asymmetric exclusion model with open
boundaries. The model describes a system of hard-core particles that hop stochastically in …

Relations between quantum integrable models solvable by the quantum inverse scattering
method and some aspects of enumerative combinatorics and partition theory are discussed …