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

页码：1299 / 1304

页数：6

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