PT symmetry and Weyl asymptotics
Spectral Theory
2011-05-25 v1
Abstract
For a class of PT-symmetric operators with small random perturbations, the eigenvalues obey Weyl asymptotics with probability close to 1. Consequently, when the principal symbol is non-real, there are many non-real eigenvalues.
Keywords
Cite
@article{arxiv.1105.4746,
title = {PT symmetry and Weyl asymptotics},
author = {Johannes Sjoestrand},
journal= {arXiv preprint arXiv:1105.4746},
year = {2011}
}