Solutions for a Schrodinger equation with a nonlocal term

被引：27
|
作者：
Lenzi, E. K. [1 ]
de Oliveira, B. F. [1 ]
da Silva, L. R. [2 ]
Evangelista, L. R. [1 ]
机构：
[1] Univ Estadual Maringa, Dept Fis, BR-87020900 Maringa, Parana, Brazil
[2] Univ Fed Rio Grande do Norte, Dept Fis, BR-59072970 Natal, RN, Brazil
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2008年 / 49卷 / 03期
关键词：
D O I：
10.1063/1.2842069
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We obtain time dependent solutions for a Schrondiger equation in the presence of a nonlocal term by using the Green function approach. These solutions are compared with recent results obtained for the fractional Schrodinger equation as well as for the usual one. The nonlocal term incorporated in the Schrodinger equation may also be related to the spatial and time fractional derivative and introduces different regimes of spreading of the solution with the time evolution. (C) 2008 American Institute of Physics.
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页数：8
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