Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators

Published 20 Sep 2018 in math.SP, math-ph, math.AP, math.MP, and quant-ph | (1809.07580v1)

Abstract: We prove the absence of eigenvaues of the three-dimensional Dirac operator with non-Hermitian potentials in unbounded regions of the complex plane under smallness conditions on the potentials in Lebesgue spaces. Our sufficient conditions are quantitative and easily checkable.

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