On the numerical solution of the eigenvalue problem in fractional quantum mechanics

被引：11

作者：

Guerrero, Alejandro ^{[1
]}

Moreles, Miguel Angel ^{[2
]}

机构：

[1] CIMAT, Guanajuato 36240, Gto, Mexico

[2] Univ Calgary, Dept Chem & Petr Engn, Calgary, AB T2N 1N4, Canada

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2015年 / 20卷 / 02期

关键词：

Fractional quantum mechanics; Fractional Laplacian; Control Volume method; Radial Basis Functions;

D O I：

10.1016/j.cnsns.2014.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work we propose a Control Volume Function Approximation (CVFA) method to solve equations involving the fractional Laplacian. The function approximation part is carried out with Radial Basis Function (RBF) interpolation. The physical application of interest is the eigenvalue problem for the time independent fractional Schrodinger equation. Fractional derivatives are considered in the Riesz potentials sense. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：604 / 613

页数：10

共 15 条

[1] Collocation method for fractional quantum mechanics [J].