Exact expressions for the intercepts of r-particle momentum correlation functions in μ-Bose gas model

2012/04/30 by A. M. Gavrilik, Yu. A. Mishchenko · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Bose gas #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Correlation #Correlation function (quantum field theory) #Distribution (mathematics) #Distribution function #Function (biology) #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Momentum (technical analysis) #Order (exchange) #Particle (ecology) #Physics #Quantum Information and Cryptography #Quantum mechanics #Random Matrices and Applications #cond-mat.stat-mech #hep-th #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1016/j.physleta.2012.06.032

published as Phys. Lett. A 376, No.36 (2012), 2484-2489 · 11 pages, 4 figures; v2: minor changes, one reference added, published in PLA

openalex publication_date 2012/07/01 · arxiv created 2012/07/19 · arxiv updated 2012/11/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Recently, the deformed μ-Bose gas model based on so called μ-deformed oscillators was proposed. For that model, the intercepts of r-particle momentum correlation functions (correlation functions at coinciding momenta of particles) were treated for r=2,3, within certain order of approximation in μ. In this work, we derive for μ-Bose gas model the \it exact expressions for r-particle correlation function intercepts, for all r, through Lerch transcendent and find their asymptotics (as functions of μ). For 2-, 3-particle intercepts and deformed distribution function <a^†_k a_k> the dependence on particles momentum is presented graphically.

Citations

• DEFORMED GAS OF p, q-BOSONS: VIRIAL EXPANSION AND VIRIAL COEFFICIENTS
• Quasi-Fibonacci oscillators
• Compositeness effects in the Bose–Einstein condensation
• An interacting particles system revisited in the framework of theq-deformed algebra
• What can we learn from three-pion interferometry?
• Multi-particle correlations inqp-Bose gas model
• Quasibosons composed of twoq-fermions: realization by deformed oscillators
• Intercepts of the momentum correlation functions in the μ -Bose gas model and their asymptotics

Cited by

• The q-extension of iterated integrals and nested sums in quantum field theory
• Statistics effects in extremal black holes ensemble

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