Spectral instability for even non-selfadjoint anharmonic oscillators
Raphaël Henry
Université Paris-Sud, Orsay, France

Abstract
We study the instability of the spectrum for a class of non-selfadjoint anharmonic oscillators, estimating the behavior of the instability indices (\emph{i. e.} the norm of spectral projections) associated with the large eigenvalues of these oscillators. More precisely, we consider the operators
defined on , with and . We get asymptotic expansions for the instability indices, extending the results of \cite{Dav2} and \cite{DavKui}.
Cite this article
Raphaël Henry, Spectral instability for even non-selfadjoint anharmonic oscillators. J. Spectr. Theory 4 (2014), no. 2, pp. 349–364
DOI 10.4171/JST/72