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

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.
Authors:
;  [1]
  1. National Institute of Physics, University of the Philippines-Diliman, Quezon City (Philippines)
Publication Date:
OSTI Identifier:
22479626
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 57; Journal Issue: 2; Other Information: (c) 2016 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; DELTA FUNCTION; EIGENVALUES; MATHEMATICAL SPACE; PERTURBATION THEORY; PROPAGATOR; QUANTUM SYSTEMS; SCHROEDINGER EQUATION