The time independent fractional Schrödinger equation with position-dependent mass

DOI10.1016/J.PHYSA.2020.125616OpenAlexW3107552190MaRDI QIDQ2072305

Behzad Lari, Hassan Hassanabadi, Narges Jamshir

Publication date: 26 January 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2020.125616

zbMATH Keywords

fractional derivativesfractional Schrödinger equationinfinite well potentialposition dependent mass

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (2)

Exact solution and coherent states of an asymmetric oscillator with position-dependent mass ⋮ Approximate solution of GCF PDM Schrödinger equation for a symmetrical modified Pöschl-Teller potential by GCF Laplace transform method

Cites Work

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• Quantum dissipation from power-law memory
• On nonlinear fractional Klein-Gordon equation
• Fractional Heisenberg equation
• A singular position-dependent mass particle in an infinite potential well
• Classical and quantum position-dependent mass harmonic oscillators
• Fractional powers of closed operators and the semigroups generated by them
• Fractional generalization of the quantum Markovian master equation
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• A numerical method for fractional Schrödinger equation of Lennard-Jones potential
• A new definition of fractional derivative
• Liouville and Riemann-Liouville fractional derivatives via contour integrals
• Properties of quasi-oscillator in position-dependent mass formalism
• Investigation of Conformable Fractional Schrödinger Equation in Presence of Killingbeck and Hyperbolic Potentials
• Generalized fractional Schrödinger equation with space-time fractional derivatives
• FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE
• Heisenberg's Equations of Motion with Fractional Derivatives
• Fractional Quantum Mechanics
• A position-dependent mass harmonic oscillator and deformed space
• Time fractional Schrödinger equation
• Fractional Calculus

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