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  4. Eigenvalues of one-dimensional non-self-adjoint Dirac operators

Dec

04

Tuesday

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

3.00pm

Seminars

Staff, Students, Academics

Research Centre: Department of Mathematics

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

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When & where

3.00pm - 4.00pmTuesday 4th December 2018

B103 University Building City, University of London Northampton Square London EC1V 0HB United Kingdom