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

Journal Article · Fri Apr 15 04:00:00 EDT 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3571969· OSTI ID:21501299

Jianping, Dong ^[1]

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1. Department of Mathematics, College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016 (China)

We study the Green's function of the time-dependent 3D space-fractional Schroedinger equation for the scattering problem in the fractional quantum mechanics. The Green's function is expressed in terms of Fox's H-function and in a computable series form. We get the asymptotic formula of the Green's function, and apply it to obtain the approximate wave function for the fractional quantum scattering problem.

• OSTI ID: 21501299
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 52; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
97 MATHEMATICS AND COMPUTING
APPROXIMATIONS
ASYMPTOTIC SOLUTIONS
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
GREEN FUNCTION
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM MECHANICS
SCHROEDINGER EQUATION
SPACE
TIME DEPENDENCE
WAVE EQUATIONS
WAVE FUNCTIONS