Rational invariant tori and band edge spectra for non-selfadjoint operators
نویسندگان
چکیده
منابع مشابه
Rational invariant tori , phase space tunneling , and spectra for non - selfadjoint operators in dimension 2
We study spectral asymptotics and resolvent bounds for non-selfadjoint perturbations of selfadjoint h-pseudodifferential operators in dimension 2, assuming that the classical flow of the unperturbed part is completely integrable. Spectral contributions coming from rational invariant Lagrangian tori are analyzed. Estimating the tunnel effect between strongly irrational (Diophantine) and rational...
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This is the first in a series of works devoted to small non-selfadjoint perturbations of selfadjoint h-pseudodifferential operators in dimension 2. In the present work we treat the case when the classical flow of the unperturbed part is periodic and the strength ǫ of the perturbation is ≫ h (or sometimes only ≫ h2) and bounded from above by hδ for some δ > 0. We get a complete asymptotic descri...
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ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2018
ISSN: 1435-9855
DOI: 10.4171/jems/770