Non-invariant ground states, thermal average, and generalized fermionic statistics

DOI10.1016/S0375-9601(99)00739-2zbMath0949.81022arXivcond-mat/9910151MaRDI QIDQ1569426

R. Scipioni, Roberto Mignani

Publication date: 3 July 2000

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

Full work available at URL: https://arxiv.org/abs/cond-mat/9910151

zbMATH Keywords

occupation numberthermal averagegeneralized fermionic statisticsnon-invariant ground statesoperator genealization of the Heisenberg algebrasupersymmetric statistics

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Quantum equilibrium statistical mechanics (general) (82B10) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Cites Work

• Deformed Heisenberg algebra with reflection
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Unitary and pseudounitary symmetries in a generalized statistics
• 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
• Example of infinite statistics
• Hilbert spaces of analytic functions and generalized coherent states
• A Generalized Method of Field Quantization

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