Permutations of tori in integrable Hamiltonian systems and spectral series of pseudodifferential operators

被引：0
|
作者：
Aksitov, R. I. [1 ]
机构：
[1] Moscow MV Lomonosov State Univ, Moscow, Russia
来源：
MATHEMATICAL NOTES | 2007年 / 81卷 / 1-2期
关键词：
integrable Hamiltonian system; Lionville torus; bifurcation diagram; level set; symplectic manifold; quantization condition;
D O I：
10.1134/S000143460701018X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we study integrable Hamiltonian systems with two degrees of freedom, whose regular level sets consist of several Liouville tori, and the bifurcation diagram has an isolated point. We study assumptions Under which going around the Singular point causes a permutation of the tori. We also consider a quantum analog of this Situation and give model examples.
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页码：156 / 163
页数：8
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