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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 162, Number 3, Pages 422–438
DOI: https://doi.org/10.4213/tmf6480 (Mi tmf6480) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Functionals for the means of observables for one-dimensional infinite-particle systems

T. V. Ryabukha

Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine
Full-text PDF (517 kB) Citations (2)
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DOI: https://doi.org/10.4213/tmf6480
Abstract: We study the problem of the existence of means of observables for infinite-particle systems. Using solutions of the Cauchy problems for the BBGKY hierarchy and for its dual, we prove the local existence in time of the mean-value functionals in the cases where either the observables or the states vary in time. We also discuss the problem of the existence of such functionals for several different classes of observables and for an arbitrary time interval.
Keywords: infinite-particle system, BBGKY hierarchy, dual BBGKY hierarchy, cumulant (semi-invariant), means of observables.
Received: 07.04.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 162, Issue 3, Pages 352–365
DOI: https://doi.org/10.1007/s11232-010-0028-0
Bibliographic databases:
Language: Russian
Citation: T. V. Ryabukha, “Functionals for the means of observables for one-dimensional infinite-particle systems”, TMF, 162:3 (2010), 422–438; Theoret. and Math. Phys., 162:3 (2010), 352–365
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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