Some problems of the theory of quantum statistical systems with an energy spectrum of the fractional-power type

DOI10.1007/S11232-012-0125-3zbMath1282.82035OpenAlexW2125963415MaRDI QIDQ394884

R. P. Meilanov, Z. Z. Alisultanov

Publication date: 28 January 2014

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-012-0125-3

zbMATH Keywords

Green's functionvan der Waals equationBose-Einstein condensationfractional-order derivativenonquadratic spectrum

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Statistical mechanics of gases (82D05) Green's functions for elliptic equations (35J08)

Cites Work

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• Fractional quantum mechanics and Lévy path integrals
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Some features of quantum statistical systems with an energy spectrum of the fractional-power type
• Probability interpretation of the integral of fractional order
• LIOUVILLE AND BOGOLIUBOV EQUATIONS WITH FRACTIONAL DERIVATIVES
• A fractional Poisson process in a model of dispersive charge transport in semiconductors
• Fractional statistical mechanics

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