Nonextensive physics: A possible connection between generalized statistical mechanics and quantum groups. (English) Zbl 0941.81565
Summary: Two different formalisms have been recently developed for nonextensive physics, namely the generalized statistical mechanics and thermodynamics (characterized by \(q\neq 1)\) and the quantum groups (characterized by \(q_{G}\neq 1)\). Through the discussion of the mean values of observables, we propose a (temperature dependent) connection between \(q\) and \(q_{G}\), and illustrate with bosonic oscillators.
MSC:
| 81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |
| 82B23 | Exactly solvable models; Bethe ansatz |
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