Divergence-free WKB method

被引：16

作者：

Hyouguchi, T ^{[1
]}

Adachi, S ^{[1
]}

Ueda, M ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Phys, Meguro Ku, Tokyo 1528551, Japan

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 88卷 / 17期

关键词：

D O I：

10.1103/PhysRevLett.88.170404

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new semiclassical approach to the linear and nonlinear one-dimensional Schrodinger equation is presented. For both equations our zeroth-order solutions include nonperturbative quantum corrections to the WKB solution and the Thomas-Fermi solution, thereby allowing us to make uniformly converging perturbative expansions of the wave functions. Our method leads to a new quantization condition that yields exact eigenenergies for the harmonic-oscillator and Morse potentials.

引用

页码：1704041 / 1704044

页数：4

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