Comment on “On the consistency of solutions of the space fractional Schrödinger equation” [J. Math. Phys. 53, 042105 (2012)]

DOI10.1063/1.4772533zbMath1280.81040arXiv1210.1447OpenAlexW1607282256MaRDI QIDQ5396271

No author found.

Publication date: 5 February 2014

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

Full work available at URL: https://arxiv.org/abs/1210.1447

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

Lévy path integrals of particle on circle and some applications ⋮ Comment on “On the consistency of the solutions of the space fractional Schrödinger equation” [J. Math. Phys. 53, 042105 (2012)] ⋮ Energy bands and Wannier functions of the fractional Kronig-Penney model ⋮ On the ground states and dynamics of space fractional nonlinear Schrödinger/Gross-Pitaevskii equations with rotation term and nonlocal nonlinear interactions ⋮ Definition of the Riesz derivative and its application to space fractional quantum mechanics ⋮ Reanalysis of an open problem associated with the fractional Schrödinger equation ⋮ Fractional Schrödinger equation for a particle moving in a potential well ⋮ Consistency problem of the solutions of the space fractional Schrödinger equation ⋮ Bound states for multiple Dirac-δ wells in space-fractional quantum mechanics ⋮ Transmission through locally periodic potentials in space-fractional quantum mechanics ⋮ Lévy flights in a box ⋮ Infinite wall in the fractional quantum mechanics

Cites Work

• Fractals and quantum mechanics
• 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)]
• Tunneling in fractional quantum mechanics
• On the nonlocality of the fractional Schrödinger equation
• The fractional Schrödinger equation for delta potentials