Time fractional development of quantum systems

DOI10.1063/1.3464492zbMath1312.81080OpenAlexW1985724173MaRDI QIDQ5253680

Hüseyin Şirin, Hüseyin Ertik, Doğan Demirhan, Fevzi Buyukkilic

Publication date: 27 May 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3464492

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional derivatives and integrals (26A33) Fractals (28A80) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (17)

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Cites Work

• Space-time fractional Schrödinger equation with time-independent potentials
• Fractals and fractional calculus in continuum mechanics
• Fractional quantum mechanics and Lévy path integrals
• On Mittag-Leffler-type functions in fractional evolution processes
• Fractals and quantum mechanics
• POTENTIALS OF ARBITRARY FORCES WITH FRACTIONAL DERIVATIVES
• Generalized fractional Schrödinger equation with space-time fractional derivatives
• Some solutions to the space fractional Schrödinger equation using momentum representation method
• Time fractional Schrödinger equation
• The random walk's guide to anomalous diffusion: A fractional dynamics approach
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