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Evolution of correlation operators of large particle quantum systems


Abstract

The paper deals with the problem of a rigorous description of the evolution of states of large particle quantum systems in terms of correlation operators. A nonperturbative solution to a Cauchy problem of a hierarchy of nonlinear evolution equations for a sequence of marginal correlation operators is constructed. Moreover, in the case where the initial states are specified by a one-particle density operator, the mean field scaling asymptotic behavior of the constructed marginal correlation operators is considered.

Key words: Group of nonlinear operators, marginal correlation operator, nonlinear BBGKY hierarchy, scaling limit.


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Article Information

TitleEvolution of correlation operators of large particle quantum systems
SourceMethods Funct. Anal. Topology, Vol. 23 (2017), no. 2, 123-132
MilestonesReceived 05/02/2017
CopyrightThe Author(s) 2017 (CC BY-SA)

Authors Information

V. I. Gerasimenko
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs’ka, Kyiv, 01601, Ukraine


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Citation Example

V. I. Gerasimenko, Evolution of correlation operators of large particle quantum systems, Methods Funct. Anal. Topology 23 (2017), no. 2, 123-132.


BibTex

@article {MFAT967,
    AUTHOR = {V. I. Gerasimenko},
     TITLE = {Evolution of correlation operators of large particle quantum systems},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {23},
      YEAR = {2017},
    NUMBER = {2},
     PAGES = {123-132},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=967},
}


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