Abstract
It is shown that the essential spectrum of massless Dirac operators with a rotationally symmetric potential in two and three spatial dimensions covers the whole real line. Limit values of the potential at infinity can be eigenvalues of the operator, but outside the limit range of the potential the spectrum is purely absolutely continuous under a mild variation condition on the radial potential.
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Schmidt, K.M. Spectral Properties of Rotationally Symmetric Massless Dirac Operators. Lett Math Phys 92, 231–241 (2010). https://doi.org/10.1007/s11005-010-0393-5
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DOI: https://doi.org/10.1007/s11005-010-0393-5