Behavior of a constrained particle on superintegrability of the two-dimensional complex Cayley-Klein space and its thermodynamic properties

DOI10.1016/j.physa.2021.125935OpenAlexW3136829296MaRDI QIDQ2068511

H. Panahi, A. Najafizade

Publication date: 19 January 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2021.125935

zbMATH Keywords

unitary groupsthermodynamics propertiesCayley-Klein spacecontraction parameterEuler parameterizationsuperintegrable Hamiltonian

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Superintegrability on the Dunkl oscillator model in three-dimensional spaces of constant curvature

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Factorization method in quantum mechanics
• Two-dimensional exactly solvable quantum model obtained from \(\mathrm{SU}(3)/\mathrm{SU}(2)\) homogenous space
• One-dimensional Dirac oscillator in a thermal bath
• Thermodynamic properties of quantum models based on the complex unitary Cayley-Klein groups
• Contractions, deformations and curvature
• On the thermodynamic properties of the spinless Duffin-Kemmer-Petiau oscillator in noncommutative plane
• Contracted Hamiltonian on symmetric space \(SU(3)/SU(2)\) and conserved quantities
• Superintegrability on three-dimensional Riemannian and relativistic spaces of constant curvature
• A class of operator algebras which are determined by groups
• Successive Refinements of Gradings and Graded Contractions of sl(3,C)
• Two and three dimensional Hamiltonians with generalized and ordinary shape invariance symmetry
• Nondegenerate 2D complex Euclidean superintegrable systems and algebraic varieties
• Three-dimensional superintegrable systems in a static electromagnetic field
• The Jordan–Schwinger representations of Cayley–Klein groups. I. The orthogonal groups
• The Jordan–Schwinger representations of Cayley–Klein groups. II. The unitary groups
• The Jordan–Schwinger representations of Cayley–Klein groups. III. The symplectic groups
• Dynamical symmetries in a spherical geometry. I
• Dynamical symmetries in a spherical geometry. II
• Discrete and continuous graded contractions of representations of Lie algebras
• Quantum (2+1) kinematical algebras: a global approach
• Graded contractions of Casimir operators
• Quantum structure of the motion groups of the two-dimensional Cayley-Klein geometries
• Contractions of Lie algebras and separation of variables
• Maximal superintegrability onN-dimensional curved spaces
• Trigonometry of spacetimes: a new self-dual approach to a curvature/signature (in)dependent trigonometry
• Bosonic oscillator under a uniform magnetic field with Snyder-de Sitter algebra
• Superintegrable relativistic systems in scalar background fields
• Pseudo-orthogonal groups and integrable dynamical systems in two dimensions
• Contractions of Lie algebras and separation of variables. The n-dimensional sphere
• Superintegrable systems with position dependent mass
• The quantum free particle on spherical and hyperbolic spaces: A curvature dependent approach
• Superintegrable relativistic systems in spacetime-dependent background fields
• On the Contraction of Groups and Their Representations
• Locally anisotropic kinetic processes and thermodynamics in curved spaces.

This page was built for publication: Behavior of a constrained particle on superintegrability of the two-dimensional complex Cayley-Klein space and its thermodynamic properties