Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Matematicheskie Zametki, 2007, Volume 81, Issue 2, Pages 174–183
DOI: https://doi.org/10.4213/mzm3545 (Mi mzm3545) 		 
Permutations of Tori in Integrable Hamiltonian Systems and Spectral Series of Pseudodifferential Operators

R. I. Aksitov

M. V. Lomonosov Moscow State University
Full-text PDF (468 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm3545
Abstract: 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.
Keywords: integrable Hamiltonian system, Liouville torus, bifurcation diagram, level set, symplectic manifold, quantization condition.
Received: 12.07.2005
Revised: 24.03.2006
English version:
Mathematical Notes, 2007, Volume 81, Issue 2, Pages 156–163
DOI: https://doi.org/10.1134/S000143460701018X
Bibliographic databases:
UDC: 514.745.82
Language: Russian
Citation: R. I. Aksitov, “Permutations of Tori in Integrable Hamiltonian Systems and Spectral Series of Pseudodifferential Operators”, Mat. Zametki, 81:2 (2007), 174–183; Math. Notes, 81:2 (2007), 156–163
Citation in format AMSBIB
\Bibitem{Aks07}
\by R.~I.~Aksitov
\paper Permutations of Tori in Integrable Hamiltonian Systems and Spectral Series of Pseudodifferential Operators
\jour Mat. Zametki
\yr 2007
\vol 81
\issue 2
\pages 174--183
\mathnet{http://mi.mathnet.ru/mzm3545}
\crossref{https://doi.org/10.4213/mzm3545}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2333877}
\zmath{https://zbmath.org/?q=an:1128.37034}
\elib{https://elibrary.ru/item.asp?id=9448925}
\transl
\jour Math. Notes
\yr 2007
\vol 81
\issue 2
\pages 156--163
\crossref{https://doi.org/10.1134/S000143460701018X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000244695200018}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33947528286}
Linking options:
  • https://www.mathnet.ru/eng/mzm3545
  • https://doi.org/10.4213/mzm3545
  • https://www.mathnet.ru/eng/mzm/v81/i2/p174
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024