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

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arxiv 1204.3067 v2 pith:4S7ZVERF submitted 2012-04-13 math-ph cond-mat.stat-mechhep-thmath.MPquant-ph

classification math-phcond-mat.stat-mechhep-thmath.MPquant-ph
keywords correlationfunctionsinterceptsmodelmomentummu-boser-particledeformed
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Recently, the deformed \mu-Bose gas model based on so called \mu-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 \mu. In this work, we derive for \mu-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 \mu). For 2-, 3-particle intercepts and deformed distribution function <a^\dag_k a_k> the dependence on particles momentum is presented graphically.

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  1. The $\mu$-extension of iterated integrals and nested sums

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    The authors construct μ-extensions of iterated integrals and nested sums over multiple alphabets, showing that they map polynomially in μ into the original function space (except for square-root cases) while preservin...

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