2014/05/15 by Quang Sang Phan, Phan, Quang Sang
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #Holomorphic and Operator Theory #Spectral Theory in Mathematical Physics #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1405.3930
provisional version
arxiv created 2014/08/03 · arxiv updated 2014/08/05
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.