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arXiv · 1705.04833

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

Jean-Claude Cuenin·Petr Siegl
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Abstract

We analyze eigenvalues emerging from thresholds of the essential spectrum of one-dimensional Dirac operators perturbed by complex and non-symmetric potentials. In the general non-self-adjoint setting we establish the existence and asymptotics of weakly coupled eigenvalues and Lieb-Thirring inequalities. As physical applications we investigate the damped wave equation and armchair graphene nanoribbons.

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Jean-Claude Cuenin, Petr Siegl. 2017-05-13. Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications. https://doi.org/10.1007/s11005-018-1051-6

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