Quantization of fractional systems using WKB approximation

被引：8

作者：

Rabei, Eqab M. ^{[2
]}

Muslih, Sami I. ^{[3
]}

Baleanu, Dumitru ^{[1
,4
]}

机构：

[1] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[2] Al Al Bayt Univ, Dept Phys, Mafraq 25113, Jordan

[3] So Illinois Univ, Carbondale, IL 62901 USA

[4] Inst Space Sci, R-76900 Magurele, Romania

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2010年 / 15卷 / 04期

关键词：

Fractional derivative; Fractional WKB approximation; Hamilton's principle function; HAMILTON-JACOBI TREATMENT; LINEAR VELOCITIES; FORMULATION; LAGRANGIANS; FORMALISM;

D O I：

10.1016/j.cnsns.2009.05.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Caputo's fractional derivative is used to quantize fractional systems using (WKB) approximation. The wave function is build such that the phase factor is the same as the Hamilton's principle function S. The energy eigenvalue is found to be in exact agreement with the classical case. To demonstrate our approach an example is investigated in details. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：807 / 811

页数：5

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