Scattering problems in the fractional quantum mechanics governed by the 2D space-fractional Schrödinger equation

DOI10.1063/1.4866777zbMath1286.81159arXiv1301.1006OpenAlexW2963201290MaRDI QIDQ5414835

Jianping Dong

Publication date: 7 May 2014

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

Full work available at URL: https://arxiv.org/abs/1301.1006

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) (2)-body potential quantum scattering theory (81U05) Fractional partial differential equations (35R11)

Related Items (5)

Chebyshev pseudospectral approximation of two dimensional fractional Schrodinger equation on a convex and rectangular domain ⋮ Lévy path integrals of particle on circle and some applications ⋮ A numerical method for solving the two-dimensional distributed order space-fractional diffusion equation on an irregular convex domain ⋮ Zero-energy bound state decay for non-local Schrödinger operators ⋮ Fractional Schrödinger equation in the presence of the linear potential

Uses Software

• DLMF

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