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

共 50 条

[1] Time and Space Fractional Schrodinger Equation with Fractional Factor
Xiang, Pei
Guo, Yong-Xin
Fu, Jing-Li
COMMUNICATIONS IN THEORETICAL PHYSICS, 2019, 71 (01) : 16 - 26
[2] Generalized fractional Schrodinger equation with space-time fractional derivatives
Wang, Shaowei
Xu, Mingyu
JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (04)
[3] The Time Fractional Schrodinger Equation on Hilbert Space
Gorka, Przemyslaw
Prado, Humberto
Trujillo, Juan
INTEGRAL EQUATIONS AND OPERATOR THEORY, 2017, 87 (01) : 1 - 14
[4] On the consistency of the solutions of the space fractional Schrodinger equation
Bayin, Selcuk S.
JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (04)
[5] Fractional optical solitons of the space-time fractional nonlinear Schrodinger equation
Wu, Gang-Zhou
Yu, Li-Jun
Wang, Yue-Yue
OPTIK, 2020, 207
[6] SPACE-TIME FRACTIONAL SCHRODINGER EQUATION WITH COMPOSITE TIME FRACTIONAL DERIVATIVE
Dubbeldam, Johan L. A.
Tomovski, Zivorad
Sandev, Trifce
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2015, 18 (05) : 1179 - 1200
[7] Fractional Schrodinger equation
Laskin, N
PHYSICAL REVIEW E, 2002, 66 (05): : 7 - 056108
[8] SPACE-TIME FRACTIONAL NONLINEAR SCHRODINGER EQUATION
Grande, Ricardo
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 51 (05) : 4172 - 4212
[9] Consistency problem of the solutions of the space fractional Schrodinger equation
Bayin, Selcuk S.
JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (09)
[10] Discrete Fractional Solutions of the Radial Equation of the Fractional Schrodinger Equation
Yilmazer, Resat
Ozturk, Okkes
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2016 (ICNAAM-2016), 2017, 1863

← 1 2 3 4 5 →