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
收藏
页码：371 / 376
页数：6
相关论文
共 50 条
  • [41] Symmetry of NHN hydrogen bonds in solution
    Perrin, CL
    Ohta, BK
    JOURNAL OF MOLECULAR STRUCTURE, 2003, 644 (1-3) : 1 - 12
  • [42] Asymptotics of Rydberg States for the Hydrogen Atom
    Lawrence E. Thomas
    Carlos Villegas-Blas
    Communications in Mathematical Physics, 1997, 187 : 623 - 645
  • [43] The effects of gravitational waves on a hydrogen atom
    Wanwieng, N.
    Chattrapiban, N.
    Watcharangkool, A.
    CLASSICAL AND QUANTUM GRAVITY, 2023, 40 (23)
  • [44] The signal-to-noise ratio and a hidden symmetry of Hall plates
    Ausserlechner, Udo
    SOLID-STATE ELECTRONICS, 2017, 135 : 14 - 23
  • [45] Boson expression of hydrogen atom eigenfunction
    Li, XH
    Yang, YT
    ACTA PHYSICA SINICA, 2005, 54 (01) : 12 - 17
  • [46] Properties of coherent state for hydrogen atom
    Xu, BW
    Ye, F
    Ding, GH
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 39 (02) : 151 - 154
  • [47] YangianY(sl(2)) in hydrogen atom
    Shengli Zhang
    International Journal of Theoretical Physics, 1997, 36 : 2999 - 3005
  • [48] Hydrogen atom in a finite linear space
    Campos, RG
    Pimentel, LO
    JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 160 (01) : 179 - 194
  • [49] Rotating effects on an atom with a magnetic quadrupole moment confined to a quantum ring
    Fonseca, I. C.
    Bakke, Knut
    EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (03):
  • [50] Diffusion mobility of the hydrogen atom with allowance for the anharmonic attenuation of migrating atom state
    Kashlev, Y. A.
    PHYSICA B-CONDENSED MATTER, 2017, 511 : 20 - 25
12345