Journal ArticleDOI
On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)q
TLDR
The quantum group SU(2)q is discussed in this paper by a method analogous to that used by Schwinger to develop the quantum theory of angular momentum such theory of the q-analogue of the quantum harmonic oscillator, as is required for this purpose.Abstract:
The quantum group SU(2)q is discussed by a method analogous to that used by Schwinger to develop the quantum theory of angular momentum Such theory of the q-analogue of the quantum harmonic oscillator, as is required for this purpose, is developedread more
Citations
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'Nonclassical' states in quantum optics: a 'squeezed' review of the first 75 years
TL;DR: A review of studies performed in the field of non-classical states can be found in this article, with a focus on the evolution of Gaussian wave packets for an oscillator, a free particle and a particle moving in uniform constant electric and magnetic fields.
Journal ArticleDOI
Nonequilibrium steady states of matrix-product form: a solver's guide
TL;DR: The general problem of determining the steady state of stochastic nonequilibrium systems such as those used to model biological transport and traffic flow is considered, and a unified, pedagogical account of the various means by which the statistical mechanical calculations of macroscopic physical quantities are actually performed is presented.
Journal ArticleDOI
f-oscillators and nonlinear coherent states
TL;DR: In this paper, an interpretation of the f-oscillator is provided as corresponding to a special nonlinearity of vibration for which the frequency of oscillation depends on the energy.
Journal ArticleDOI
Non-pointlike particles in harmonic oscillators
TL;DR: In this article, the authors calculate the perturbations to the energy levels of a particle which is non-pointlike in this sense in isotropic harmonic oscillators, where they find a characteristic splitting of the usually degenerate energy levels.
Journal ArticleDOI
A (p, q)-oscillator realization of two-parameter quantum algebras
TL;DR: In this paper, a quantum algebra sup,q(2) with two independent deformation parameters (p, q) is studied, and the standard single-parameter (q) deformations are obtained in the limit p=q.
References
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Book
Exactly solved models in statistical mechanics
TL;DR: In this article, exactly solved models of statistical mechanics are discussed. But they do not consider exactly solvable models in statistical mechanics, which is a special issue in the statistical mechanics of the classical two-dimensional faculty of science.
Book
The theory of partitions
TL;DR: The elementary theory of partitions and partitions in combinatorics can be found in this article, where the Hardy-Ramanujan-Rademacher expansion of p(n) is considered.
Journal ArticleDOI
A q -difference analogue of U(g) and the Yang-Baxter equation
TL;DR: Aq-difference analogue of the universal enveloping algebra U(g) of a simple Lie algebra g is introduced in this article, and its structure and representations are studied in the simplest case g=sl(2).
Journal ArticleDOI
Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models
TL;DR: The general properties of the factorized S-matrix in two-dimensional space-time are considered in this article, where the relation between the factorization property of the scattering theory and the infinite number of conservation laws of the underlying field theory is discussed.
Journal ArticleDOI
Compact matrix pseudogroups
TL;DR: The compact matrix pseudogroup as mentioned in this paper is a non-commutative compact space endowed with a group structure, and the existence and uniqueness of the Haar measure is proved and orthonormality relations for matrix elements of irreducible representations are derived.