scientific article; zbMATH DE number 7572485

MaRDI QIDQ5096513

Ying Lu, Jianping Dong, Yunjie Tan

Publication date: 17 August 2022

Full work available at URL: http://121.43.60.238/sxwlxbA/EN/abstract/abstract16541.shtml

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zbMATH Keywords

Fox's \(H\)-functionquantum mechanical kernelspace-time fractional Schrödinger equation

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) Integral transforms of special functions (44A20) Special quantum systems, such as solvable systems (81Q80)

Cites Work

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• The H-Function
• Path integrals for potential problems with δ-function perturbation
• The G and H Functions as Symmetrical Fourier Kernels
• Some physical applications of fractional Schrödinger equation
• Generalized fractional Schrödinger equation with space-time fractional derivatives
• Some solutions to the space fractional Schrödinger equation using momentum representation method
• An Introduction to Quantum Theory
• Time fractional Schrödinger equation
• On the nonlocality of the fractional Schrödinger equation
• The fractional Schrödinger equation for delta potentials

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