Consistency problem of the solutions of the space fractional Schrödinger equation

DOI10.1063/1.4819502zbMath1284.81105arXiv1510.01687OpenAlexW3105236280MaRDI QIDQ5409660

Selçuk Bayın

Publication date: 14 April 2014

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

Full work available at URL: https://arxiv.org/abs/1510.01687

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)

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Legendre spectral collocation method for distributed and Riesz fractional convection-diffusion and Schrödinger-type equation ⋮ Comment on “On the consistency of the solutions of the space fractional Schrödinger equation” [J. Math. Phys. 53, 042105 (2012)] ⋮ Definition of the Riesz derivative and its application to space fractional quantum mechanics ⋮ A fast linearized conservative finite element method for the strongly coupled nonlinear fractional Schrödinger equations ⋮ A conservative difference scheme for solving the strongly coupled nonlinear fractional Schrödinger equations ⋮ Transmission through locally periodic potentials in space-fractional quantum mechanics ⋮ Fast L2-1\(_\sigma\) Galerkin FEMs for generalized nonlinear coupled Schrödinger equations with Caputo derivatives ⋮ Solving 3D fractional Schrödinger systems on the basis of Phragmén-Lindelöf methods ⋮ Efficient numerical techniques for computing the Riesz fractional-order reaction-diffusion models arising in biology

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• Fractional Calculus: Integral and Differential Equations of Fractional Order
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• Fractional Schrödinger equation for a particle moving in a potential well
• Comment on “On the consistency of solutions of the space fractional Schrödinger equation” [J. Math. Phys. 53, 042105 (2012)]
• Comment on “On the consistency of the solutions of the space fractional Schrödinger equation” [J. Math. Phys. 53, 042105 (2012)]

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