Continuous-time random walk as a guide to fractional Schrodinger equation

被引：15

作者：

Lenzi, E. K. ^{[1
]}

Ribeiro, H. V. ^{[1
]}

Mukai, H. ^{[1
]}

Mendes, R. S. ^{[1
]}

机构：

[1] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, Parana, Brazil

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2010年 / 51卷 / 09期

关键词：

differential equations; diffusion; Markov processes; random processes; Schrodinger equation; LEVY FLIGHTS; DIFFUSION;

D O I：

10.1063/1.3491333

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We argue that the continuous-time random walk approach may be a useful guide to extend the Schrodinger equation in order to incorporate nonlocal effects, avoiding the inconsistencies raised by Jeng et al. [J. Math. Phys. 51, 062102 (2010)]. As an application, we work out a free particle in a half space, obtaining the time dependent solution by considering an arbitrary initial condition. (C) 2010 American Institute of Physics. [doi:10.1063/1.3491333]

引用

页数：7

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