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TMF, 2002, Volume 132, Number 3, Pages 399–407 (Mi tmf370)  

This article is cited in 2 scientific papers (total in 2 papers)

Reduction to the Surface of Second-Class Constraints

V. P. Pavlov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: We propose a recursive procedure that, for given second-class constraints, permits explicitly constructing equivalent constraints and a canonical transformation such that the Dirac bracket is reduced to the Poisson bracket on the constraint surface.

Keywords: Hamilton–Dirac mechanics, constrained systems, reduction to a constraint surface

DOI: https://doi.org/10.4213/tmf370

Full text: PDF file (177 kB)
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English version:
Theoretical and Mathematical Physics, 2002, 132:3, 1233–1241

Bibliographic databases:

Document Type: Article
Received: 04.03.2002

Citation: V. P. Pavlov, “Reduction to the Surface of Second-Class Constraints”, TMF, 132:3 (2002), 399–407; Theoret. and Math. Phys., 132:3 (2002), 1233–1241

Citation in format AMSBIB
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\by V.~P.~Pavlov
\paper Reduction to the Surface of Second-Class Constraints
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\vol 132
\issue 3
\pages 399--407
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\crossref{https://doi.org/10.4213/tmf370}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1956668}
\zmath{https://zbmath.org/?q=an:1067.70504}
\transl
\jour Theoret. and Math. Phys.
\yr 2002
\vol 132
\issue 3
\pages 1233--1241
\crossref{https://doi.org/10.1023/A:1020268020464}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000178686400005}


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  • https://doi.org/10.4213/tmf370
  • http://mi.mathnet.ru/eng/tmf/v132/i3/p399

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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. P. Pavlov, “Negolonomnaya mekhanika Diraka i differentsialnaya geometriya”, Lekts. kursy NOTs, 22, MIAN, M., 2014, 3–55  mathnet  crossref  elib
    2. V. P. Pavlov, V. M. Sergeev, “Fluid dynamics and thermodynamics as a unified field theory”, Proc. Steklov Inst. Math., 294 (2016), 222–232  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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