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Russian Mathematical Surveys, 2013, Volume 68, Issue 2, Pages 335–348
DOI: https://doi.org/10.1070/RM2013v068n02ABEH004831 (Mi rm9514) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On quantum averaging, quantum KAM, and quantum diffusion

S. B. Kuksinab, A. I. Neishtadtcd

a Steklov Mathematical Institute of the Russian Academy of Sciences
b Institut de Mathématiques de Jussieu, Paris, France
c Loughborough University, UK
d Space Research Institute, Russian Academy of Sciences
English version PDF (564 kB) Citations (4) Russian version article
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DOI: https://doi.org/10.1070/RM2013v068n02ABEH004831
Abstract: For non-autonomous Hamiltonian systems and their quantizations this paper discusses properties of the quantized systems whose classical analogues constitute the subject of KAM theory and related areas: averaging theory, Nekhoroshev stability, and diffusion.
Bibliography: 31 titles.
Keywords: infinite-dimensional KAM theory, quantum diffusion, quantum adiabatic theorem.
Funding agency Grant number
Agence Nationale de la Recherche ANR-10-BLAN 0102
Russian Foundation for Basic Research 13-01-00251
Received: 15.09.2012
Bibliographic databases:
Document Type: Article
UDC: 517.956.8+517.958+530.145
MSC: 34C29, 81Q15
Language: English
Original paper language: Russian
Citation: S. B. Kuksin, A. I. Neishtadt, “On quantum averaging, quantum KAM, and quantum diffusion”, Russian Math. Surveys, 68:2 (2013), 335–348
Citation in format AMSBIB
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\by S.~B.~Kuksin, A.~I.~Neishtadt
\paper On quantum averaging, quantum~KAM, and quantum diffusion
\jour Russian Math. Surveys
\yr 2013
\vol 68
\issue 2
\pages 335--348
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  • https://doi.org/10.1070/RM2013v068n02ABEH004831
  • https://www.mathnet.ru/eng/rm/v68/i2/p145
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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