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.
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页码：371 / 376
页数：6
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