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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 1, Pages 149–163
DOI: https://doi.org/10.4213/tmf421 (Mi tmf421) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Some Properties of Functional Integrals with Respect to the Bogoliubov Measure

D. P. Sankovich

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (269 kB) Citations (11)
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DOI: https://doi.org/10.4213/tmf421
Abstract: We consider problems related to integration with respect to the Bogoliubov measure in the space of continuous functions and calculate some functional integrals with respect to this measure. Approximate formulas that are exact for functional polynomials of a given degree and also some formulas that are exact for integrable functionals belonging to a broader class are constructed. An inequality for traces is proved, and an upper estimate is derived for the Gibbs equilibrium mean square of the coordinate operator in the case of a one-dimensional nonlinear oscillator with a positive symmetric interaction.
Received: 25.05.2000
English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 1, Pages 121–135
DOI: https://doi.org/10.1023/A:1005262400667
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: D. P. Sankovich, “Some Properties of Functional Integrals with Respect to the Bogoliubov Measure”, TMF, 126:1 (2001), 149–163; Theoret. and Math. Phys., 126:1 (2001), 121–135
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v126/i1/p149
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :203
    References:42
    First page:1
     
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