On the space-time fractional Schrödinger equation with time independent potentials

DOI10.1090/CONM/658/13121zbMath1348.35208arXiv1709.06198OpenAlexW4238350836MaRDI QIDQ2990147

Saleh Baqer, Lyubomir Boyadjiev

Publication date: 29 July 2016

Published in: A Panorama of Mathematics: Pure and Applied (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.06198

zbMATH Keywords

fractional calculusfractional Schrödinger equationCaputo time fractional derivativeFourier transform in momentum representationquantum Riesz-Feller space fractional derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Gamma, beta and polygamma functions (33B15) Mittag-Leffler functions and generalizations (33E12) PDEs in connection with quantum mechanics (35Q40) Laplace transform (44A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Exponential and trigonometric functions (33B10) Integral transforms, operational calculus (44A99)

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