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

DOI10.1007/s11232-012-0073-yzbMath1282.82008OpenAlexW2021099078MaRDI QIDQ2636635

Z. Z. Alisultanov, R. P. Meilanov

Publication date: 30 January 2014

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

Full work available at URL: https://doi.org/10.1007/s11232-012-0073-y

zbMATH Keywords

nonlocalityequation of statefractional-order derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items

Quantum statistical systems in \(D\)-dimensional space using a fractional derivative ⋮ Some problems of the theory of quantum statistical systems with an energy spectrum of the fractional-power type ⋮ Solution of the fractional Liouville equation by using Riemann-Liouville and Caputo derivatives in statistical mechanics ⋮ Solutions of nonlocal Schrödinger equation via the Caputo-Fabrizio definition for some quantum systems

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• Fractional quantum mechanics and Lévy path integrals
• Existence of a phase-transition in a one-dimensional Ising ferromagnet