On the point spectrum of a relativistic electron in an electric and magnetic field
نویسنده
چکیده
A Mourre-type estimate is derived for the pseudorelativistic Brown–Ravenhall operator describing an atomic electron in a specific magnetic field of constant direction. As a consequence it is shown that its point spectrum is finite in R\{m} if the Coulomb potential strength γ is below 2 . An extension of the Mourre-type estimate to the exact block-diagonalized Dirac operator is also discussed. PACS number: See endnote 1
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