Semiclassical approximation and 1/n expansion in quantum-mechanical problems

被引：2

作者：

Karnakov, BM ^{[1
]}

Mur, VD ^{[1
]}

Popov, VS ^{[1
]}

机构：

[1] Moscow Engn Phys Inst Tech Univ, Moscow 115409, Russia

来源：

PHYSICS OF ATOMIC NUCLEI | 2001年 / 64卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

D O I：

10.1134/1.1368224

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

The semiclassical approximation and the technique of 1/n expansion are used to calculate the eigenenergies and the wave functions for the radial Schrodinger equation. It is shown that the expressions that are asymptotically exact in the limit n = n(r) + l + 1 --> infinity and which describe the above eigenenergies and the asymptotic coefficients at the origin and at infinity ensure a satisfactory precision even for states characterized by modest values of the quantum numbers II, and I, including the ground state. (C) 2001 MAIK "Nauka/Interperiodica".

引用

页码：670 / 690

页数：21

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