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Fractional Schrödinger equation

Known as: Fractional Schrodinger equation 
The fractional Schrödinger equation is a fundamental equation of fractional quantum mechanics. It was discovered by Nick Laskin (1999) as a result of… 
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Related topics

Related topics

9 relations
Fractional quantum mechanicsFunctional integrationGround stateMomentum operator

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
Fractional Path Integral Monte Carlo
Fractional derivatives are nonlocal differential operators of real order that often appear in models of anomalous diffusion and a… 
2017
2017
Expansion of fractional derivatives in terms of an integer derivative series: physical and numerical applications
We use the displacement operator to derive an infinite series of integer order derivatives for the Gr\"{u}nwald-Letnikov… 
2017
2017
The Numerical Computation of the Time Fractional Schrödinger Equation on an Unbounded Domain
Abstract A fast and accurate numerical scheme is presented for the computation of the time fractional Schrödinger equation on an… 
2016
2016
Existence and uniqueness theory for the fractional Schrödinger equation on the torus
We study the Cauchy problem for the $1$-d periodic fractional Schr\"odinger equation with cubic nonlinearity. In particular we… 
2015
2015
On the numerical solution of the eigenvalue problem in fractional quantum mechanics
2013
2013
Levy path integral approach to the solution of the fractional Schr\"odinger equation with infinite square well
The solution to the fractional Schr\"odinger equation with infinite square well is obtained in this paper, by use of the L\'evy… 
2012
2012
Aspects of the Coarse-Grained-Based Approach to a Low-Relativistic Fractional Schr\"odinger Equation
The main goal of this paper is to set up the coarse-grained formulation of a fractional Schr\"odinger equation that incorporates… 
2012
2012
Comment on “On the consistency of solutions of the space fractional Schrödinger equation” [J. Math. Phys.53, 042105 (2012)]
In Bayin's paper [J. Math. Phys. 53, 042105 (2012)]10.1063/1.4705268, he claims to prove the consistency of the purported piece… 
2012
2012
Explicit Solutions of Fractional Schrödinger Equation via Fractional Calculus Operators
In this paper, we investigate the schrodinger equation in a given  - dimensional fractional space with a columb potential… 
2007
2007
Fractional Schrodinger wave equation and fractional uncertainty principle
Free particle wavefunction of the fractional Schrödinger wave equation is obtained. The wavefunction of the equation is… 
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