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

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.

10 pages, 1 figure

References in corpus (1)

• Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications

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