The role of quantum group invariance in nonextensive quantum statistical mechanics

DOI10.1016/S0378-4371(01)00679-3zbMath0984.82008WikidataQ126464579 ScholiaQ126464579MaRDI QIDQ5958995

Marcelo R. Ubriaco

Publication date: 20 March 2002

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

zbMATH Keywords

thermodynamicsdensity matrixTsallis formalism

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Foundations of time-dependent statistical mechanics (82C03) Irreversible thermodynamics, including Onsager-Machlup theory (82C35)

Related Items

Thermostatistics of the multi-dimensional q-deformed fermionic Newton oscillators

Cites Work

• Unnamed Item
• Unnamed Item
• Multiparametric quantum deformation of the general linear supergroup
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Possible generalization of Boltzmann-Gibbs statistics.
• Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups
• ERRATA: QUANTUM GROUP SCHRÖDINGER FIELD THEORY
• On q-analogues of the quantum harmonic oscillator and the quantum group SU(2)_q
• The quantum group SU_q(2) and a q-analogue of the boson operators
• Analysis of the basic matrix representation ofGL q(2,C)
• Covariant differential calculus on the quantum hyperplane
• Nonextensive thermodynamic relations