Green’s functions and energy eigenvalues for delta-perturbed space-fractional quantum systems

Journal Article · Mon Feb 15 00:00:00 EST 2016 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4941086· OSTI ID:22479626

Esguerra, J. P. ^[1]

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1. National Institute of Physics, University of the Philippines-Diliman, Quezon City (Philippines)

Starting from the propagator, we introduced a time-ordered perturbation expansion and employed Wick rotation to obtain a general energy-dependent Green’s function expressions for space-fractional quantum systems with Dirac delta-function perturbation. We then obtained the Green’s functions and equations for the bound state energies for the space-fractional Schrödinger equation with single and double Dirac delta well potentials and the delta-perturbed infinite well.

• OSTI ID: 22479626
• Journal Information: Journal of Mathematical Physics, Vol. 57, Issue 2; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BOUND STATE
DELTA FUNCTION
EIGENVALUES
MATHEMATICAL SPACE
PERTURBATION THEORY
PROPAGATOR
QUANTUM SYSTEMS
SCHROEDINGER EQUATION