The time-dependent Schrödinger equation in three dimensions under geometric constraints

DOI10.1063/1.5079226zbMath1414.81097OpenAlexW2920062816MaRDI QIDQ5379350

Trifce Sandev, A. S. M. De Castro, Irina Petreska, Ervin Kaminski Lenzi

Publication date: 28 May 2019

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

Full work available at URL: https://doi.org/10.1063/1.5079226

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Fractional partial differential equations (35R11) Quantum state spaces, operational and probabilistic concepts (81P16) Green's functions for elliptic equations (35J08)

Related Items (6)

Fractional Schrödinger equation and time dependent potentials ⋮ Anomalous diffusion and random search in xyz-comb: exact results ⋮ Comb-like geometric constraints leading to emergence of the time-fractional Schrödinger equation ⋮ Fractional Schrödinger equation and anomalous relaxation: Nonlocal terms and delta potentials ⋮ Subordination principle and Feynman-Kac formulae for generalized time-fractional evolution equations ⋮ Fractional Schrödinger equation for heterogeneous media and Lévy like distributions

Cites Work

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• Does ultra-slow diffusion survive in a three dimensional cylindrical comb?
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• Fractals and quantum mechanics
• Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
• Generalized time-dependent Schrödinger equation in two dimensions under constraints
• Fractional Quantum Mechanics
• Lévy Transport in Slab Geometry of Inhomogeneous Media
• Time fractional Schrödinger equation
• Time fractional Schrödinger equation: Fox's H-functions and the effective potential

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