Definition of the Riesz derivative and its application to space fractional quantum mechanics

DOI10.1063/1.4968819zbMath1353.81041arXiv1612.03046OpenAlexW3106076990WikidataQ59650332 ScholiaQ59650332MaRDI QIDQ2951763

Selçuk Bayın

Publication date: 9 January 2017

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

Full work available at URL: https://arxiv.org/abs/1612.03046

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fractional derivatives and integrals (26A33)

Related Items (9)

On solvability of differential equations with the Riesz fractional derivative ⋮ Fractional Bessel derivative within the Mellin transform framework ⋮ Fractional Schrödinger equation and time dependent potentials ⋮ On the dissipativity of some Caputo time-fractional subdiffusion models in multiple dimensions: theoretical and numerical investigations ⋮ On the solution of two-dimensional fractional Black-Scholes equation for European put option ⋮ On the solution of a generalized Higgs boson equation in the de Sitter space-time through an efficient and Hamiltonian scheme ⋮ On Riesz derivative ⋮ The fractional d'Alembert's formulas ⋮ A Note on Parallel Preconditioning for the All-at-Once Solution of Riesz Fractional Diffusion Equations

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