Anyonic behavior of quantum group fermionic and bosonic systems

1997/03/31 by Marcelo R. Ubriaco, Ubriaco, Marcelo R.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum many-body systems #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9703225

LaTeX file, 14 pages, two figures ,uses epsf.sty. Talk given at International Conf. on Orbis Scientae 1997, 1/23-1/26, Miami, Florida. To appear in the Proceedings.

arxiv created 1997/03/31 · openalex publication_date 1997/03/31 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the role that quantum group symmetries, in particular SU_q(2), play in a thermodynamic system at high temperatures. We show that the interactions introduced by the quantum group symmetries, are such that a quantum group gas describe repulsive and attractive behavior in two and three spatial dimensions.

Citations

• Multiparametric quantum deformation of the general linear supergroup

Related

• HIGH AND LOW TEMPERATURE BEHAVIOR OF A QUANTUM GROUP FERMION GAS
• Thermodynamics of Hamiltonian anyons with applications to quantum heat engines
• Symmetries and Correlations in Strongly Interacting One-dimensional Quantum Gases
• Dimensional Reduction of Two-Dimensional Anyons to a One-Dimensional Interacting Bose Gas
• On the energy-momentum spectrum of a homogeneous Fermi gas