13-76 Karl Michael Schmidt and Tomio Umeda

Schnol's theorem and spectral properties of massless Dirac operators with scalar potentials (49K, LaTeX2e) Sep 16, 13

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Abstract. We show that the point spectrum of massless Dirac operators with suitable scalar potentials is confined to small sets which can easily be characterised in terms of properties of the potentials. Furthermore, we prove that a Schnol'-type theorem holds for massless Dirac operators under minimal assumptions on the potential, and use this result to conclude that the spectrum of a certain class of such operators covers the whole real line.

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