New analytic solution of Schrodinger's equation

被引：38

作者：

Eleuch, H. ^{[1
,2
,3
]}

Rostovtsev, Y. V. ^{[1
,2
,4
]}

Scully, M. O. ^{[1
,2
,3
]}

机构：

[1] Texas A&M Univ, Inst Quantum Studies, College Stn, TX 77843 USA

[2] Texas A&M Univ, Dept Phys, College Stn, TX 77843 USA

[3] Princeton Univ, Appl Phys & Mat Sci Grp, Princeton, NJ 08544 USA

[4] Univ N Texas, Dept Phys, Denton, TX 76203 USA

来源：

EPL | 2010年 / 89卷 / 05期

关键词：

WAVE MECHANICS; APPROXIMATIONS; QUANTIZATION;

D O I：

10.1209/0295-5075/89/50004

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We obtain an analytic solution beyond adiabatic approximation by transferring the 1D Schrodinger equation into the Ricatti equation. Then we show that our solution is more accurate than JWKB approximation. The generalizations of the approach to 3D are suggested, and possible applications of obtained solutions are discussed. Copyright (C) EPLA, 2010

引用

页数：6

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