Green's function for the time-dependent scattering problem in the fractional quantum mechanics

DOI10.1063/1.3571969zbMath1316.81024OpenAlexW2063385616MaRDI QIDQ5263550

Jianping Dong

Publication date: 17 July 2015

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

Full work available at URL: https://doi.org/10.1063/1.3571969

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05) Classical hypergeometric functions, ({}_2F_1) (33C05) Fractional partial differential equations (35R11) Green's functions for elliptic equations (35J08)

Related Items (9)

Time-dependent Schrödinger-like equation with nonlocal term ⋮ Space-time fractional Schrödinger equation with composite time fractional derivative ⋮ Fractional Green's function for the time-dependent scattering problem in the space-time-fractional quantum mechanics ⋮ Time dependent solutions for a fractional Schrödinger equation with delta potentials ⋮ Scattering problems in the fractional quantum mechanics governed by the 2D space-fractional Schrödinger equation ⋮ Time dependent solutions for fractional coupled Schrödinger equations ⋮ Applications of density matrix in the fractional quantum mechanics: Thomas-Fermi model and Hohenberg-Kohn theorems revisited ⋮ Comb-like geometric constraints leading to emergence of the time-fractional Schrödinger equation ⋮ Generalized time-dependent Schrödinger equation in two dimensions under constraints

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