INTERPOLATING STATISTICS AND q-DEFORMED OSCILLATOR ALGEBRAS

DOI10.1142/S0217979206033498zbMath1090.81036MaRDI QIDQ5291472

P. Narayana Swamy

Publication date: 10 May 2006

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

zbMATH Keywords

thermostatisticsdeformed algebrasBoson-typefermi-typeinterpolating statistics

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)

Related Items (18)

Interacting dark matter and \(q\)-deformed dark energy nonminimally coupled to gravity ⋮ Duality of boson and fermion: new intermediate-statistics ⋮ Thermostatistics of bosonic and fermionic Fibonacci oscillators ⋮ On the deformed oscillator and the deformed derivative associated with the Tsallis \(q\)-exponential ⋮ On faithful matrix representations of \(q\)-deformed models in quantum optics ⋮ Thermostatistics of the multi-dimensional q-deformed fermionic Newton oscillators ⋮ Low-temperature thermostatistics of Tamm-Dancoff deformed boson oscillators ⋮ Effective approach for taking into account interactions of quasiparticles from the low-temperature behavior of a deformed fermion-gas model ⋮ q-deformed fermion in many-particle systems and its application to BCS theory ⋮ A comparative study on \(q\)-deformed fermion oscillators ⋮ Fibonacci oscillators and two-parameter generalized thermostatistics ⋮ An interacting ensemble of particles in the context of quantum algebra ⋮ Hybrid modeling of quasi-particles: algebra, Fock space and condensation ⋮ Effects of bosonic and fermionic q-deformation on the entropic gravity ⋮ Bose–Einstein condensation in a gas of Fibonacci oscillators ⋮ Time-varying q-deformed dark energy interacts with dark matter ⋮ Modified multi-dimensional \(q\)-deformed Newton oscillators: algebra, interpolating statistics and thermodynamics ⋮ q-Deformed Tamm–Dancoff oscillators: Coherent state and thermostatistics

Cites Work

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• Deformed Heisenberg algebra: origin of \(q\)-calculus
• Anyonic realization of the quantum affine Lie algebra \(U_q(\widehat{A}_{N-1})\)
• THERMODYNAMICS OF q-MODIFIED BOSONS
• 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
• Anyons
• Example of infinite statistics
• Detailed balance and intermediate statistics
• Statistical mechanics of anyons

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