Generalized time-dependent Schrödinger equation in two dimensions under constraints

DOI10.1063/1.4996573zbMath1380.81112OpenAlexW2784397739MaRDI QIDQ3134117

Irina Petreska, Trifce Sandev, Ervin Kaminski Lenzi

Publication date: 8 February 2018

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

Full work available at URL: https://doi.org/10.1063/1.4996573

zbMATH Keywords

memory kernelsFox \(H\)-function

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Time-dependent Schrödinger equations and Dirac equations (35Q41) Green's functions for elliptic equations (35J08)

Related Items (9)

Fractional Schrödinger equation and time dependent potentials ⋮ Constrained quantum motion in \(\delta\)-potential and application of a generalized integral operator ⋮ The time-dependent Schrödinger equation in non-integer dimensions for constrained quantum motion ⋮ The time-dependent Schrödinger equation in three dimensions under geometric constraints ⋮ Anomalous diffusion and random search in xyz-comb: exact results ⋮ Time dependent solutions for fractional coupled Schrödinger equations ⋮ Comb-like geometric constraints leading to emergence of the time-fractional Schrödinger equation ⋮ Fractional Schrödinger equation and anomalous relaxation: Nonlocal terms and delta potentials ⋮ Fractional Schrödinger equation for heterogeneous media and Lévy like distributions

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