Perturbation theory for the hydrogen atom in a spherical cavity with off-centre nucleus

被引:39
|
作者
Changa, ME [1 ]
Scherbinin, AV [1 ]
Pupyshev, VI [1 ]
机构
[1] Moscow MV Lomonosov State Univ, Dept Chem, Lab Mol Struct & Quantum Mech, Moscow 119899, Russia
关键词
D O I
10.1088/0953-4075/33/3/311
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The problem of a hydrogen atom in an impenetrable spherical cavity of small radius R is considered on the basis of the first-order perturbational treatment of the electron-nucleus interaction taking explicit account of the boundary condition. An approximate analytic expression is derived for the electronic energy as a function of the shift of the nucleus off the centre. The estimations obtained are in good qualitative and semiquantitative agreement with the results of the finite-difference calculations. Some general features of the energy dependences are discussed qualitatively.
引用
收藏
页码:421 / 432
页数:12
相关论文
共 50 条
  • [1] Variational calculations for a hydrogen atom confined off-centre in an impenetrable spherical box using B-splines
    Shi, TY
    Qiao, HX
    Li, BW
    JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2000, 33 (09) : L349 - L355
  • [2] Perturbation Theory for a Hydrogen-like Atom Confined Within an Impenetrable Spherical Cavity
    Laughlin, Cecil
    ADVANCES IN QUANTUM CHEMISTRY, VOL 57: THEORY OF CONFINED QUANTUM SYSTEMS: PT 1, 2009, 57 : 203 - 239
  • [3] A SIMPLE THEORY OF OFF-CENTRE DISPLACEMENT OF CATIONS IN OCTAHEDRAL ENVIRONMENTS
    MEGAW, HD
    ACTA CRYSTALLOGRAPHICA SECTION B-STRUCTURAL CRYSTALLOGRAPHY AND CRYSTAL CHEMISTRY, 1968, B 24 : 149 - +
  • [4] Binding energy of an off-centre hydrogenic donor impurity in a spherical quantum dot
    Mikhail, I. F. I.
    Ismail, I. M. M.
    PHYSICA STATUS SOLIDI B-BASIC SOLID STATE PHYSICS, 2007, 244 (10): : 3647 - 3659
  • [5] The energy correction due to a finite size nucleus of the hydrogen atom confined in a penetrable spherical cavity
    Aquino, N.
    Rojas, R. A.
    Montgomery, H. E.
    REVISTA MEXICANA DE FISICA, 2018, 64 (04) : 399 - 406
  • [6] Fine structure in the hydrogen atom boxed in a spherical impenetrable cavity
    Rojas, R. A.
    Aquino, N.
    Flores-Riveros, A.
    INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2018, 118 (14)
  • [7] Fate of accidental symmetries of the relativistic hydrogen atom in a spherical cavity
    Al-Hashimi, M. H.
    Shalaby, A. M.
    Wiese, U. -J.
    ANNALS OF PHYSICS, 2015, 362 : 621 - 641
  • [8] Perturbation theory for the intensity of Stark lines of a hydrogen atom
    A. A. Kamenski
    V. D. Ovsiannikov
    Journal of Experimental and Theoretical Physics, 2001, 93 : 43 - 54
  • [9] Perturbation theory for the intensity of stark lines of a hydrogen atom
    Kamenski, AA
    Ovsiannikov, VD
    JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2001, 93 (01) : 43 - 54
  • [10] Off-centre gravity induces large-scale flow patterns in spherical Rayleigh-Benard convection
    Wang, Guiquan
    Santelli, Luca
    Verzicco, Roberto
    Lohse, Detlef
    Stevens, Richard J. A. M.
    JOURNAL OF FLUID MECHANICS, 2022, 942