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 (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 [4] and [5].
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