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

DOI10.1063/1.4941086zbMath1332.81047OpenAlexW2295975016MaRDI QIDQ2795541

M. M. I. Nayga, Jose Perico H. Esguerra

Publication date: 21 March 2016

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

Full work available at URL: https://doi.org/10.1063/1.4941086

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) Path integrals in quantum mechanics (81S40) Perturbation theories for operators and differential equations in quantum theory (81Q15) Green's functions for elliptic equations (35J08) Dual, triple, etc., integral and series equations (45F10)

Related Items (5)

Lévy path integrals of particle on circle and some applications ⋮ Fractional powers and singular perturbations of quantum differential Hamiltonians ⋮ Point-like perturbed fractional Laplacians through shrinking potentials of finite range ⋮ Fractional Schrödinger equation and anomalous relaxation: Nonlocal terms and delta potentials ⋮ Infinite wall in the fractional quantum mechanics

Cites Work

• Fractional kinetic equation for Hamiltonian chaos
• On some possible generalizations of fractional Brownian motion.
• Fractional quantum mechanics and Lévy path integrals
• Lévy path integral approach to the fractional Schrödinger equation with delta-perturbed infinite square well
• Path integrals for potential problems with δ-function perturbation
• Generalized fractional Schrödinger equation with space-time fractional derivatives
• Some solutions to the space fractional Schrödinger equation using momentum representation method
• Time fractional Schrödinger equation
• The fractional Schrödinger equation for delta potentials
• Applications of continuity and discontinuity of a fractional derivative of the wave functions to fractional quantum mechanics

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