Transmission through locally periodic potentials in space-fractional quantum mechanics

DOI10.1016/j.physa.2014.03.084zbMath1395.81148OpenAlexW2013424778MaRDI QIDQ1782877

Jose Perico H. Esguerra, Jeffrey D. Tare

Publication date: 20 September 2018

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2014.03.084

zbMATH Keywords

wave transmissionperiodic potentialspiecewise approachspace-fractional quantum mechanicsspace-fractional Schrödinger equation

Mathematics Subject Classification ID

Constructive quantum field theory (81T08)

Related Items (6)

Tunneling from general Smith–Volterra–Cantor potential ⋮ Lévy path integrals of particle on circle and some applications ⋮ Quantum tunneling from family of Cantor potentials in fractional quantum mechanics ⋮ Tunneling time in space fractional quantum mechanics ⋮ The fractional Schrödinger equation with Hardy-type potentials and sign-changing nonlinearities ⋮ New scattering features in non-Hermitian space fractional quantum mechanics

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
• 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)]
• Consistency problem of the solutions of the space fractional Schrödinger equation
• Applications of continuity and discontinuity of a fractional derivative of the wave functions to fractional quantum mechanics
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Transmission through locally periodic potentials in space-fractional quantum mechanics