Hidden symmetry in the confined hydrogen atom problem

被引：29

作者：

Pupyshev, VI ^{[1
]}

Scherbinin, AV ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Chem, Lab Mol Struct & Quantum Mech, Moscow 119899, Russia

来源：

PHYSICS LETTERS A | 2002年 / 299卷 / 04期

关键词：

hydrogen atom; Lenz vector; boundary condition; symmetry;

D O I：

10.1016/S0375-9601(02)00516-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The classical counterpart of the well-known quantum mechanical model of a spherically confined hydrogen atom is examined in terms of the Lenz vector, a dynamic variable featuring the conventional Kepler problem. It is shown that a conditional conservation law associated with the Lenz vector is true, in fair agreement with the corresponding quantum problem previously found to exhibit a hidden symmetry as well. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：371 / 376

页数：6

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