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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 91, Number 3, Pages 377–395 (Mi tmf5585)  
This article is cited in 10 scientific papers (total in 10 papers)

Two mathematical problems of canonical quantization. III. Stochastic vacuum mechanics

A. I. Kirillov

Moscow Power Engineering Institute
Full-text PDF (1794 kB) Citations (10)
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Abstract: The problem of recovery of the measure from its logarithmic derivative is investigated. The role of this problem in stochastic mechanics, canonical quantization, and the theory of integration of functionals is discussed. It is shown that a measure that possesses logarithmic derivative $A$ is a stationary distribution of a diffusion process with drift coefficient $A$. This makes it possible to calculate integrals with respect to the measure by means of Monte Carlo methods.
Received: 16.01.1992
English version:
Theoretical and Mathematical Physics, 1992, Volume 91, Issue 3, Pages 591–603
DOI: https://doi.org/10.1007/BF01017334
Bibliographic databases:
Language: Russian
Citation: A. I. Kirillov, “Two mathematical problems of canonical quantization. III. Stochastic vacuum mechanics”, TMF, 91:3 (1992), 377–395; Theoret. and Math. Phys., 91:3 (1992), 591–603
Citation in format AMSBIB
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\by A.~I.~Kirillov
\paper Two mathematical problems of canonical quantization.~III. Stochastic vacuum mechanics
\jour TMF
\yr 1992
\vol 91
\issue 3
\pages 377--395
\mathnet{http://mi.mathnet.ru/tmf5585}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1187017}
\transl
\jour Theoret. and Math. Phys.
\yr 1992
\vol 91
\issue 3
\pages 591--603
\crossref{https://doi.org/10.1007/BF01017334}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992KL55200003}
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  • https://www.mathnet.ru/eng/tmf/v91/i3/p377
    Cycle of papers
    This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :162
    References:66
    First page:1
     
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