Open AccessSpectral instability for even non-selfadjoint anharmonic oscillators
Author(s) -
Raphaël Henry
Publication year - 2014
Publication title -
journal of spectral theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.063
H-Index - 19
eISSN - 1664-0403
pISSN - 1664-039X
DOI - 10.4171/jst/72
Subject(s) - anharmonicity , instability , physics , statistical physics , control theory (sociology) , mathematics , mechanics , computer science , quantum mechanics , artificial intelligence , control (management)
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.
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