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Israel Journal of Mathematics

, Volume 9, Issue 2, pp 172–179 | Cite as

The uniqueness of known dirac atomic eigenfunctions

  • F. H. Brownell
Article

Abstract

This note observes from Rejtö’s reducing subspace results that eigenfunctions of the Dirac atomic Hamiltonian do have the angular dependence form usually considered, and consequently proves the common conjecture that only the well known eigenfunctions and eigenvalues actually arise for this Hamiltonian.

Keywords

Symmetric Operator Range Space Lebesgue Measurable Function Finite Linear Combination Limit Zero 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    F. H. Brownell,Second Quantization and Recalibration of the Dirac Hamiltonian of a Single Electron Atom without Radiation, J. d’Analyse Math.16 (1966), 1–422.CrossRefMathSciNetGoogle Scholar
  2. 2.
    T. Kato,Perturbation Theory for Linear Operators, Grundl. Math. Wiss.132, Springer Verlag, 1966.Google Scholar
  3. 3.
    P. Rejtö,On Reducing Subspaces for One-Electron Dirac Operators, Israel J. Math.9 (1971), 111–143.MATHMathSciNetGoogle Scholar
  4. 4.
    P. Rejtö,Some Essentially Self-Adjoint One-Electron Dirac Operators, Israel J. Math.9 (1971), 144–171.MATHMathSciNetGoogle Scholar

Copyright information

© Hebrew Univeristy 1971

Authors and Affiliations

  • F. H. Brownell
    • 1
  1. 1.Department of MathematicsUniversity of WashingtonSeattle

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