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.
Original language | English |
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Journal | Letters in Mathematical Physics |
Early online date | 31 Jan 2018 |
DOIs | |
Publication status | Early online date - 31 Jan 2018 |