August 13, 2019
2:00PM - 3:00PM
Math Tower 154
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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
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
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