The uniqueness of known dirac atomic eigenfunctions
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.
KeywordsSymmetric Operator Range Space Lebesgue Measurable Function Finite Linear Combination Limit Zero
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- 2.T. Kato,Perturbation Theory for Linear Operators, Grundl. Math. Wiss.132, Springer Verlag, 1966.Google Scholar