Bound states for multiple Dirac-δ wells in space-fractional quantum mechanics

DOI10.1063/1.4861933zbMath1286.81073OpenAlexW2305378703MaRDI QIDQ5414760

Jeffrey D. Tare, Jose Perico H. Esguerra

Publication date: 7 May 2014

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

Full work available at URL: https://doi.org/10.1063/1.4861933

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional partial differential equations (35R11)

Related Items (6)

On fractional powers of singular perturbations of the Laplacian ⋮ Energy bands and Wannier functions of the fractional Kronig-Penney model ⋮ Fractional powers and singular perturbations of quantum differential Hamiltonians ⋮ Fractional Schrödinger equation with Riesz-Feller derivative for delta potentials ⋮ Erratum: “Bound states for multiple Dirac-δ wells in space-fractional quantum mechanics” [J. Math. Phys. 55, 012106 (2014)] ⋮ Point-like perturbed fractional Laplacians through shrinking potentials of finite range

Cites Work

• Fractional quantum mechanics and Lévy path integrals
• On the consistency of the solutions of the space fractional Schrödinger equation
• Comment on “On the consistency of the solutions of the space fractional Schrödinger equation” [J. Math. Phys. 53, 042105 (2012)]
• Some physical applications of fractional Schrödinger equation
• Some solutions to the space fractional Schrödinger equation using momentum representation method
• Time fractional Schrödinger equation
• On the nonlocality of the fractional Schrödinger equation
• The fractional Schrödinger equation for delta potentials
• Comment on “On the consistency of solutions of the space fractional Schrödinger equation” [J. Math. Phys. 53, 042105 (2012)]
• Applications of continuity and discontinuity of a fractional derivative of the wave functions to fractional quantum mechanics
• Unnamed Item

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