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