Nonextensive statistical mechanics of \(q\)-bosons based on the \(q\)-deformed entropy

DOI10.1016/S0375-9601(98)00324-7zbMath0940.82005MaRDI QIDQ1966748

Sumiyoshi Abe

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

zbMATH Keywords

\(q\)-bosonsensembles of \(q\)-deformed systemssymmetric deformed entropy

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Classical equilibrium statistical mechanics (general) (82B05)

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Nonextensive random-matrix theory based on Kaniadakis entropy, Why \(q\)-expectation values must be used in nonextensive statistical mechanics, Does the Lesche condition for stability validate generalized entropies?, Functions induced by iterated deformed Laguerre derivative: analytical and operational approach, Statistical field theories deformed within different calculi, The deformed exponential functions of two variables in the context of various statistical mechanics, The Laplace transform induced by the deformed exponential function of two variables, \(q\)-deformed dynamics of \(q\)-deformed oscillators., \(Q\)-boson system below the critical temperature, Gauge theory of self-similar system, Non-relativistic q-gases with low critical temperatures, Classical and quantum \(q\)-deformed physical systems, Bose-Einstein condensation of a \(q\)-deformed ideal Bose gas, \(q\)-deformed structures and nonextensive statistics: a comparative study, Monotonic decrease of the quantum nonadditive divergence by projective measurements, Implications of Form Invariance to the Structure of Nonextensive Entropies

Cites Work

• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Some comments on Boltzmann-Gibbs statistical mechanics
• Stock exchange: a statistical model
• Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups
• Comment on: ``Thermodynamic stability conditions for the Tsallis and Rényi entropies by J. D. Ramshaw
• Tsallis entropy and quantal distribution functions
• On the generalized blackbody distribution
• PHYSICAL NONLINEAR ASPECTS OF CLASSICAL AND QUANTUM q-OSCILLATORS
• The quantum group SU_q(2) and a q-analogue of the boson operators
• <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="italic">q</mml:mi></mml:math>-analysis of Fractal Sets