Mathematical aspects of physics with non-self-adjoint operators

June 8 to June 12, 2015

at the

American Institute of Mathematics, San Jose, California

organized by

Lyonell Boulton, David Krejcirik, and Petr Siegl

Original Announcement

This workshop will emphasize the state-of-the-art techniques for the mathematically rigorous analysis of non-self-adjoint phenomena encountered in main stream and newly developing fields of physics. Its main goal is to facilitate interdisciplinary collaborations across the mathematical analysis and mathematical physics community, and is a follow up of similar events held in Prague (2010) and Edinburgh (2013).

The workshop will focus on four concrete topics for linear differential operators and pencils.

The program of open problem and discussion sessions will concentrate on these aspects for models from superconductivity, hydrodynamics, graphene, PT-symmetric quantum mechanics, and optics.

Material from the workshop

A list of participants.

The workshop schedule.

A report on the workshop activities.

A list of open problems.

Slides from presentations
Mark Embree
Marianna Shubov
Michael Levitin
Marcel Hansmann
Kwang Shin
Sabine Bögli

Papers arising from the workshop:

Generalised cosine functions, basis and regularity properties
by  Lyonell Boulton and Houry Melkonian,  J. Math. Anal. Appl. 444 (2016), no. 1, 25-46  MR3523364
Asymptotic spectral analysis in colliding leaky quantum layers
by  Sylwia Kondej and David Krejcirik,  J. Math. Anal. Appl. 446 (2017), no. 2, 1328–1355  MR3563037
Spectral stability of Schroedinger operators with subordinated complex potentials
by  Luca Fanelli, David Krejcirik and Luis Vega
Pseudospectra of the Schroedinger operator with a discontinuous complex potential
by  Raphael Henry and David Krejcirik