Spectral instability for even non-selfadjoint anharmonic oscillators
Spectral Theory
2013-10-18 v2
Abstract
We study the instability of the spectrum for a class of non-selfadjoint anharmonic oscillators, estimating the behavior of the instability indices (i. e. the norm of spectral projections) associated with the large eigenvalues of these oscillators. We get asymptotic expansions for the instability indices, extending the results of Davies and Davies-Kuijlaars.
Cite
@article{arxiv.1301.5327,
title = {Spectral instability for even non-selfadjoint anharmonic oscillators},
author = {Raphaël Henry},
journal= {arXiv preprint arXiv:1301.5327},
year = {2013}
}