The perturbed hydrogen atom

Some new algebraic results

S. Kais, M. Cohen, R. D. Levine

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

The authors have employed algebraic methods to calculate the bound-state spectra of a non-relativistic hydrogen atom subjected to a wide class of perturbations. Their procedure exploits the linearity of the complete (perturbed) Hamiltonian in the generators of the SO(2, 2) Lie algebra which follows naturally from the separation of variables in Schrodinger's equation in parabolic coordinates. Appropriate transformations then allow the Hamiltonian to be expressed as a linear combination of the compact generators of the two underlying SO(2, 1) algebras. They give some examples for which the bound-state spectra can be obtained completely analytically.

Original languageEnglish
Article number012
Pages (from-to)803-809
Number of pages7
JournalJournal of Physics A: Mathematical and General
Volume22
Issue number7
DOIs
Publication statusPublished - 1 Dec 1989
Externally publishedYes

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Hamiltonians
Hydrogen Atom
Bound States
Algebra
hydrogen atoms
algebra
generators
Generator
Schrodinger equation
Atoms
Hydrogen
Schrodinger Equation
Algebraic Methods
Separation of Variables
Linearity
linearity
Linear Combination
Lie Algebra
Perturbation
Calculate

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Physics and Astronomy(all)
  • Mathematical Physics

Cite this

The perturbed hydrogen atom : Some new algebraic results. / Kais, S.; Cohen, M.; Levine, R. D.

In: Journal of Physics A: Mathematical and General, Vol. 22, No. 7, 012, 01.12.1989, p. 803-809.

Research output: Contribution to journalArticle

Kais, S. ; Cohen, M. ; Levine, R. D. / The perturbed hydrogen atom : Some new algebraic results. In: Journal of Physics A: Mathematical and General. 1989 ; Vol. 22, No. 7. pp. 803-809.
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