We prove the absence of eigenvalues 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.
Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators / Fanelli, L.; Krejcirik, D.. - In: LETTERS IN MATHEMATICAL PHYSICS. - ISSN 0377-9017. - 109:7(2019), pp. 1473-1485. [10.1007/s11005-018-01155-7]
Location of eigenvalues of three-dimensional non-self-adjoint Dirac operators
Fanelli L.;
2019
Abstract
We prove the absence of eigenvalues 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.File allegati a questo prodotto
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