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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 mechanics
Functional integration
Ground state
Momentum operator
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Papers overview
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2017
2017
The Numerical Computation of the Time Fractional Schrödinger Equation on an Unbounded Domain
Dan Li
,
Jiwei Zhang
,
Zhimin Zhang
Comput. Methods Appl. Math.
2017
Corpus ID: 288951
Abstract A fast and accurate numerical scheme is presented for the computation of the time fractional Schrödinger equation on an…
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2017
2017
Existence of solutions for fractional Schrodinger equation with asymptotica- lly periodic terms
Da-Bin Wang
,
M. Guo
,
Wen Guan
2017
Corpus ID: 73654958
In this paper, we investigate the following nonlinear fractional Schrödinger equation (−∆)su+ V(x)u = f(x,u), x ∈ RN, where s…
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2017
2017
Fractional Path Integral Monte Carlo
Mamikon A. Gulian
,
Hao-Ran Yang
,
B. Rubenstein
2017
Corpus ID: 119453768
Fractional derivatives are nonlocal differential operators of real order that often appear in models of anomalous diffusion and a…
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2015
2015
Numerical Approximation of Partial Differential Equations I Schrödinger Equation with Fractional
Yanzhi Zhang
2015
Corpus ID: 3680265
Recently, one debate in the literature is whether the fractional Schródinger equation in an infinite potential well has the same…
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2014
2014
Infinitely many solutions to a fractional nonlinear Schr\"{o}dinger equation
Liping Wang
,
Chunyi Zhao
2014
Corpus ID: 119171610
This paper considers the fractional Schr\"{o}dinger equation \begin{equation}\label{abstract} (-\Delta)^s u + V(|x|)u-u^p=0…
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2014
2014
Infinitely many positive solutions for nonlinear fractional Schrödinger equations
W. Long
,
Shuangjie Peng
,
Jing Yang
2014
Corpus ID: 119307513
We consider the following nonlinear fractional Schr\"{o}dinger equation $$ (-\Delta)^su+u=K(|x|)u^p,\ \ u>0 \ \ \hbox{in}\ \ R^N…
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2014
2014
EXACT SOLUTIONS OF SOME COMPLEX PARTIAL DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
A. Unal
2014
Corpus ID: 189801460
In this paper some exact solutions of fractional Schrödinger and Eckhaus equations and numerical solutions of massive Thirring…
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2014
2014
Almost Sure Global Well-posedness for Fractional Cubic Schr\"odinger equation on torus
S. Demirbas
2014
Corpus ID: 263797615
In [12], we proved that $1$-d periodic fractional Schr\"odinger equation with cubic nonlinearity is locally well-posed in $H^s…
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2013
2013
Levy path integral approach to the solution of the fractional Schr\"odinger equation with infinite square well
Dong Jianping
2013
Corpus ID: 118361612
The solution to the fractional Schr\"odinger equation with infinite square well is obtained in this paper, by use of the L\'evy…
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2008
2008
Fractional spin - a property of particles described with a fractional Schroedinger equation
R. Herrmann
2008
Corpus ID: 118385456
It is shown, that the requirement of invariance under spatial rotations reveales an intrinsic fractional extended translation…
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