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

来源：

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS | 2000年 / 33卷 / 03期

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

页码：421 / 432

页数：12

共 50 条

[41] APPLICATION OF RAYLEIGH-SCHRODINGER PERTURBATION-THEORY TO HYDROGEN-ATOM .3.
GRAY, BF
GONDA, I
JOURNAL OF CHEMICAL PHYSICS, 1975, 62 (05): : 2007 - 2008
[42] Self-adjoint extensions for confined electrons: From a particle in a spherical cavity to the hydrogen atom in a sphere and on a cone
Al-Hashimi, M. H.
Wiese, U. -J.
ANNALS OF PHYSICS, 2012, 327 (11) : 2742 - 2759
[43] Fine structure in the hydrogen atom boxed in a spherical impenetrable cavity (vol 118, e25584, 2018)
Rojas, R. A.
Aquino, N.
Flores-Riveros, A.
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2018, 118 (15)
[44] SEMI-CLASSICAL PERTURBATION-THEORY FOR THE HYDROGEN-ATOM IN A UNIFORM MAGNETIC-FIELD
BENDER, CM
MLODINOW, LD
PAPANICOLAOU, N
PHYSICAL REVIEW A, 1982, 25 (03): : 1305 - 1314
[45] PROBLEMS IN PERTURBATION THEORY CALCULATION OF DIAMAGNETIC SUSCEPTIBILITY AND NUCLEAR MAGNETIC SHIELDING IN MOLECULES ILLUSTRATION WITH HYDROGEN ATOM
SNYDER, LC
PARR, RG
JOURNAL OF CHEMICAL PHYSICS, 1961, 34 (03): : 837 - &
[46] MODIFIED PERTURBATION THEORY FOR HYDROGEN ATOM IN SPACE WITH LORENTZ-COVARIANT DEFORMED ALGEBRA WITH MINIMAL LENGTH
Samar, M. I.
JOURNAL OF PHYSICAL STUDIES, 2011, 15 (01):
[47] THE VIRIAL-THEOREM AND THE FACTORIZED WAVEFUNCTION APPROACH TO PERTURBATION-THEORY - APPLICATION TO THE SPHERICAL STARK AND SPHERICAL QUADRATIC ZEEMAN PROBLEMS IN HYDROGEN
SILVA, JR
CANUTO, S
PHYSICS LETTERS A, 1984, 106 (1-2) : 1 - 4
[48] Student difficulties with finding the fine structure corrections to the energy spectrum of the hydrogen atom using degenerate perturbation theory
Singh, Chandralekha
Marshman, Emily
Keebaugh, Christof
2017 PHYSICS EDUCATION RESEARCH CONFERENCE, 2017, : 372 - 375
[49] HYDROGEN-ATOM WITH A YUKAWA POTENTIAL - PERTURBATION-THEORY AND CONTINUED-FRACTIONS-PADE APPROXIMANTS AT LARGE ORDER
VRSCAY, ER
PHYSICAL REVIEW A, 1986, 33 (02): : 1433 - 1436
[50] 2ND ORDER PERTURBATION-THEORY FOR THE HYDROGEN-ATOM IN CROSSED ELECTRIC AND MAGNETIC-FIELDS
SOLOVEV, EA
ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI, 1983, 85 (01): : 109 - 114

← 1 2 3 4 5 →