Combinatorial invariant of nearly integrable Hamiltonians

Autor:	Phan, Quang Sang
Rok vydání:	2017
Předmět:	Mathematical Physics Mathematics - Analysis of PDEs 35P20 G.1.8
Druh dokumentu:	Working Paper
Popis:	We work with small non-selfadjoint perturbations of a selfadjoint quantum Hamiltonian with two degrees of freedom, assuming that the principal symbol of the selfadjoint part is (classically) a nearly integrable system, together with a globally non-degenerate condition. We define a monodromy directly from the spectrum of such an operator, in the semiclassical limit. Moreover, this spectral monodromy allows to detect the topological modification on the dynamics of the nearly integrable system. It can be identified with the monodromy for KAM invariant tori of the nearly integrable system. Comment: 20 pages. arXiv admin note: text overlap with arXiv:1405.3930, arXiv:1701.01998
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1703.06454 Zobrazit plný text záznamu View this record from Arxiv