Fractional Schrödinger equation with Riesz-Feller derivative for delta potentials

DOI10.1063/1.4972291zbMath1353.81043OpenAlexW2567720021MaRDI QIDQ2951768

S. Jarosz, Jayme jun. Vaz

Publication date: 9 January 2017

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

Full work available at URL: https://doi.org/10.1063/1.4972291

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Operations with distributions and generalized functions (46F10) Fractional derivatives and integrals (26A33)

Related Items (5)

Energy bands and Wannier functions of the fractional Kronig-Penney model ⋮ Fractional powers and singular perturbations of quantum differential Hamiltonians ⋮ Fractional calculus via Laplace transform and its application in relaxation processes ⋮ Point-like perturbed fractional Laplacians through shrinking potentials of finite range ⋮ Bound and scattering states for supersingular potentials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The infinite well and Dirac delta function potentials as pedagogical, mathematical and physical models in quantum mechanics
• Fractional quantum mechanics and Lévy path integrals
• Lévy flights and related topics in physics. Proceedings of the international workshop, held at Nice, France, 27-30 June, 1994
• Tunneling in fractional quantum mechanics
• A rigged Hilbert space of Hardy-class functions: Applications to resonances
• Non-Hermitian Quantum Mechanics
• Some solutions to the space fractional Schrödinger equation using momentum representation method
• Axiomatic basis for spaces with noninteger dimension
• A new look at the derivation of the Schrödinger equation from Newtonian mechanics
• Lévy Processes and Stochastic Calculus
• On the nonlocality of the fractional Schrödinger equation
• The fractional Schrödinger equation for delta potentials
• Lévy flights and nonlocal quantum dynamics
• Bound states for multiple Dirac-δ wells in space-fractional quantum mechanics
• Mittag-Leffler Functions, Related Topics and Applications
• First Steps in Random Walks
• The random walk's guide to anomalous diffusion: A fractional dynamics approach

This page was built for publication: Fractional Schrödinger equation with Riesz-Feller derivative for delta potentials