Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900348 | Journal of Mathematical Analysis and Applications | 2018 | 17 Pages |
Abstract
We define a monodromy, directly from the spectrum of small non-selfadjoint perturbations of a selfadjoint semiclassical operator with two degrees of freedom, which is classically integrable. It is a combinatorial invariant that obstructs globally the existence of lattice structure of the spectrum, in the semiclassical limit. Moreover this spectral monodromy allows to recover a topological invariant (the classical monodromy) of the corresponding integrable system.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Quang Sang Phan,