Title: Eigenvalues of one-dimensional non-self-adjoint Dirac operators
Speaker: Petr Siegl (Queen's University Belfast)
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.
The talk is based on:  J.-C. Cuenin and P. Siegl: Eigenvalues of one-dimensional non-self-adjoint Dirac operators and applications, Letters in Mathematical Physics, 108, (2018) 1757-1778, arXiv:1705.04833