On fractional Schrodinger equation in α-dimensional fractional space

被引：48
|
作者：
Eid, Rajeh [2 ]
Muslih, Sami I. [3 ]
Baleanu, Dumitru [1 ]
Rabei, E. [4 ,5 ]
机构：
[1] Cankaya Univ, Fac Arts & Sci, Dept Math & Comp Sci, TR-06530 Ankara, Turkey
[2] Atilim Univ, Dept Math, TR-06836 Incek Ankara, Turkey
[3] Al Azhar Univ, Dept Phys, Gaza, Israel
[4] Jerash Private Univ, Dept Sci, Jerash, Jordan
[5] Mutah Univ, Dept Phys, Al Karak, Jordan
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 03期
关键词：
Fractional space; Schrodinger equation; Fractional dimension; Radial equation;
D O I：
10.1016/j.nonrwa.2008.01.007
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Schrodinger equation is solved in a-dimensional fractional space with a Coulomb potential proportional to 1/r(beta-2), 2 <= beta <= 4. The wave functions are studied in terms of spatial dimensionality alpha and beta and the results for beta = 3 are compared with those obtained in the literature. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1299 / 1304
页数：6
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