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arXiv · 1405.3930

Spectral monodromy of small non-selfadjoint perturbed operators: completely integrable or quasi-integrable case

Quang Sang Phan
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Abstract

We build a combinatorial invariant, called the spectral monodromy from the spectrum of a non-selfadjoint h -pseudodifferential operator with two degrees of freedom in the semi-classical limit. We treat small non-selfadjoint perturbation of selfadjoint h-pseudodifferential operators in two case: in the first, we assume that the classical flow of the unperturbed part is integrable; the second case, more interesting, when this flow is assumed to be quasi-integrable.

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Quang Sang Phan. 2014-08-03. Spectral monodromy of small non-selfadjoint perturbed operators: completely integrable or quasi-integrable case. https://arxiv.org/abs/1405.3930

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