Nonlocal phenomena in quantum mechanics with fractional calculus

DOI10.1016/S0034-4877(20)30075-6zbMath1451.81059OpenAlexW3097581098MaRDI QIDQ2210561

Hüseyin Şirin, Kazim Gökhan Atman

Publication date: 7 November 2020

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(20)30075-6

zbMATH Keywords

fractional calculusnonlocal effectsfractional quantum mechanicsEinstein's coefficients

Mathematics Subject Classification ID

Model quantum field theories (81T10) Fractional derivatives and integrals (26A33) Quantum optics (81V80) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Spectral sets of linear operators (47A25) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items (4)

Fractional calculus approach for the phase dynamics of Josephson junction ⋮ Thermal properties of the one-dimensional space quantum fractional Dirac oscillator ⋮ A new effective coherent numerical technique based on shifted Vieta-Fibonacci polynomials for solving stochastic fractional integro-differential equation ⋮ The soliton solutions and long-time asymptotic analysis for an integrable variable coefficient nonlocal nonlinear Schrödinger equation

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• Quantum Theory of Non-Local Fields. Part I. Free Fields
• On Field Theories with Non-Localized Action
• Quantum Theory of Non-Local Fields. Part II. Irreducible Fields and their Interaction

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