October 17, 2017
11:30AM - 12:25PM
Cockins Hall 240
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2017-10-17 11:30:00
2017-10-17 12:25:00
Analysis and Operator Theory Seminar - Petr Siegl
Title: Spectral instabilities of Schrödinger operators with complex potentialsSpeaker: Petr Siegl (University of Bern, Switzerland)Abstract: We present an overview of recent results on pseudospectra and basis properties of the eigensystem of one-dimensional Schrödinger operators with unbounded complex potentials. In particular, we address the problem of localizing the transition between spectral (Riesz basis of eigenvectors and "normal'' behavior of resolvent norm) and pseudospectral (vast regions in the complex plane where resolvent norm explodes) character of these operators depending on the size of real and imaginary parts of the potential.The talk is based on:D. Krejcirik and P. Siegl: Pseudomodes for Schrödinger operators with complex potentials, arXiv:1705.01894.B. Mityagin and P. Siegl: Local form-subordination condition and Riesz basisness of root systems, Journal d'Analyse Mathématique, to appear, arXiv:1608.00224
Cockins Hall 240
OSU ASC Drupal 8
ascwebservices@osu.edu
America/New_York
public
Date Range
Add to Calendar
2017-10-17 11:30:00
2017-10-17 12:25:00
Analysis and Operator Theory Seminar - Petr Siegl
Title: Spectral instabilities of Schrödinger operators with complex potentialsSpeaker: Petr Siegl (University of Bern, Switzerland)Abstract: We present an overview of recent results on pseudospectra and basis properties of the eigensystem of one-dimensional Schrödinger operators with unbounded complex potentials. In particular, we address the problem of localizing the transition between spectral (Riesz basis of eigenvectors and "normal'' behavior of resolvent norm) and pseudospectral (vast regions in the complex plane where resolvent norm explodes) character of these operators depending on the size of real and imaginary parts of the potential.The talk is based on:D. Krejcirik and P. Siegl: Pseudomodes for Schrödinger operators with complex potentials, arXiv:1705.01894.B. Mityagin and P. Siegl: Local form-subordination condition and Riesz basisness of root systems, Journal d'Analyse Mathématique, to appear, arXiv:1608.00224
Cockins Hall 240
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Spectral instabilities of Schrödinger operators with complex potentials
Speaker: Petr Siegl (University of Bern, Switzerland)
Abstract: We present an overview of recent results on pseudospectra and basis properties of the eigensystem of one-dimensional Schrödinger operators with unbounded complex potentials. In particular, we address the problem of localizing the transition between spectral (Riesz basis of eigenvectors and "normal'' behavior of resolvent norm) and pseudospectral (vast regions in the complex plane where resolvent norm explodes) character of these operators depending on the size of real and imaginary parts of the potential.
The talk is based on:
- D. Krejcirik and P. Siegl: Pseudomodes for Schrödinger operators with complex potentials, arXiv:1705.01894.
- B. Mityagin and P. Siegl: Local form-subordination condition and Riesz basisness of root systems, Journal d'Analyse Mathématique, to appear, arXiv:1608.00224