DOCUMENTA MATHEMATICA, Vol. 4 (1999), 275-283

Marcel Griesemer, Roger T. Lewis, Heinz Siedentop

A Minimax Principle for Eigenvalues in Spectral Gaps: Dirac Operators with Coulomb Potentials

We prove the minimax principle for eigenvalues in spectral gaps introduced in \cite{GriesemerSiedentop1999} based on an alternative set of hypotheses. In the case of the Dirac operator these new assumptions allow for potentials with Coulomb singularites.

1991 Mathematics Subject Classification: 47A75, 81Q10

Keywords and Phrases: Minimax principle, Dirac operator, Coulomb singularity

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