Analysis and Operator Theory Seminar - Petr Siegl

August 12, 2019
Tuesday, August 13, 2019 - 2:00pm to 3:00pm
Math Tower 154
Analysis and Operator Theory Seminar

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: [1] 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

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