Random sets, \(q\)-distributions and quantum groups.

DOI10.1016/S0375-9601(97)00670-1zbMath1044.81621OpenAlexW2018463047MaRDI QIDQ1966416

Yanyan Li

Publication date: 7 March 2000

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

Full work available at URL: https://doi.org/10.1016/s0375-9601(97)00670-1

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) General quantum mechanics and problems of quantization (81S99)

Related Items (6)

Imprecise probability through \(f\)-probability and its statistical physical implications ⋮ \(q\)-deformed dynamics of \(q\)-deformed oscillators. ⋮ Non-relativistic q-gases with low critical temperatures ⋮ Bose-Einstein condensation of a \(q\)-deformed ideal Bose gas ⋮ Thermodynamics of a two-parameter deformed quantum group boson gas ⋮ Probabilistic fuzzy sets and a related operator algebra

Cites Work

• Twisted second quantization
• Compact matrix pseudogroups
• Continued fractions and fermionic representations for characters of \(M(p,p')\) minimal models
• Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups
• Finite \(q\)-differences and the discrete renormalization group
• A group-dynamic model and the lost-games distribution
• Oil exploration: sequential decisions in the face of uncertainty
• Hilbert spaces of analytic functions and generalized coherent states

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