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

DOI10.1007/S10773-014-2157-YzbMath1308.81075arXiv1301.3206OpenAlexW2593255226MaRDI QIDQ487417

Jianping Dong

Publication date: 22 January 2015

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.3206

zbMATH Keywords

Green's functionquantum scatteringfractional schrodinger equation

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (2)-body potential quantum scattering theory (81U05) Fractional partial differential equations (35R11) Green's functions for elliptic equations (35J08)

Related Items (3)

Fractional Schrödinger equation and time dependent potentials ⋮ Quantization method and Schrödinger equation of fractional time and their weak effects on Hamiltonian: phase transitions of energy and wave functions ⋮ Time fractional Schrödinger equation revisited

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