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Russian Mathematical Surveys, 2019, Volume 74, Issue 1, Pages 141–173
DOI: https://doi.org/10.1070/RM9859 (Mi rm9859) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter

A. Ya. Maltseva, S. P. Novikovb

a Landau Institute for Theoretical Physics of Russian Academy of Sciences, Moscow
b Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
English version PDF (794 kB) Citations (12) Russian version article
References:
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DOI: https://doi.org/10.1070/RM9859
Abstract: This survey is devoted to questions connected with the Novikov problem of describing the geometry of level curves of quasi-periodic functions on the plane with different numbers of quasi-periods. Considered here are the history of the question, the current state of research in this field, and a number of applications of this problem to various physical problems. The main focus is on applications of results obtained in this area to the theory of transport phenomena in electron systems.
Bibliography: 56 titles.
Keywords: topological phenomena, Hamiltonian systems, transport phenomena.
Received: 22.10.2018
Bibliographic databases:
Document Type: Article
UDC: 517.938.5
MSC: Primary 37N20, 37E99; Secondary 82C70, 82D35
Language: English
Original paper language: Russian
Citation: A. Ya. Maltsev, S. P. Novikov, “Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter”, Russian Math. Surveys, 74:1 (2019), 141–173
Citation in format AMSBIB
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\paper Topological integrability, classical and quantum chaos, and the theory of dynamical systems in the physics of condensed matter
\jour Russian Math. Surveys
\yr 2019
\vol 74
\issue 1
\pages 141--173
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:973
    Russian version PDF:169
    English version PDF:46
    References:92
    First page:107
     
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