Fractional Schrödinger equation with zero and linear potentials

DOI10.1515/fca-2016-0053zbMath1344.34011arXiv1712.10079OpenAlexW3100849513MaRDI QIDQ309307

Lyubomir Boyadjiev, Saleh Baqer

Publication date: 7 September 2016

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.10079

zbMATH Keywords

fractional Schrödinger equationCaputo time fractional derivativeFox \(H\)-function

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)

Related Items (3)

The fractional dynamics of quantum systems ⋮ Time fractional Schrödinger equation with a limit based fractional derivative ⋮ Solving 3D fractional Schrödinger systems on the basis of Phragmén-Lindelöf methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Space-time fractional Schrödinger equation with time-independent potentials
• Fractional quantum mechanics and Lévy path integrals
• Well-posedness for the nonlinear fractional Schrödinger equation and inviscid limit behavior of solution for the fractional Ginzburg-Landau equation
• On the space-time fractional Schrödinger equation with time independent potentials
• Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation
• Principles of Fractional Quantum Mechanics
• Some solutions to the space fractional Schrödinger equation using momentum representation method
• The fundamental solution of the space-time fractional diffusion equation
• Time fractional Schrödinger equation: Fox's H-functions and the effective potential

This page was built for publication: Fractional Schrödinger equation with zero and linear potentials