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Analysis and Operator Theory Seminar - Petr Siegl

Analysis and Operator Theory Seminar
August 13, 2019
2:00PM - 3:00PM
Math Tower 154

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Add to Calendar 2019-08-13 14:00:00 2019-08-13 15:00:00 Analysis and Operator Theory Seminar - Petr Siegl 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 Math Tower 154 Department of Mathematics math@osu.edu America/New_York public

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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