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Teoreticheskaya i Matematicheskaya Fizika, 1986, Volume 67, Number 1, Pages 102–114 (Mi tmf4924)  
This article is cited in 6 scientific papers (total in 6 papers)

Front form of relativistic Lagrangian dynamics in two-dimensional space-time and its connection with the Hamiltonian description

S. N. Sokolov, V. I. Tretyak
Full-text PDF (1592 kB) Citations (6)
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Abstract: A Lagrangian relativistic theory is formulated in two-dimensional space-time in the front form of dynamics; the connection between it and predictive mechanics, the Hamiltonian description, and the theory of Fokker action integrals is established. Relations are found in a closed form without the use of formal expansions. The existence of mathematical restrictions on the values of the two-particle interaction Lagrangians is established.
Received: 04.03.1985
English version:
Theoretical and Mathematical Physics, 1986, Volume 67, Issue 1, Pages 385–394
DOI: https://doi.org/10.1007/BF01028892
Bibliographic databases:
Language: Russian
Citation: S. N. Sokolov, V. I. Tretyak, “Front form of relativistic Lagrangian dynamics in two-dimensional space-time and its connection with the Hamiltonian description”, TMF, 67:1 (1986), 102–114; Theoret. and Math. Phys., 67:1 (1986), 385–394
Citation in format AMSBIB
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\by S.~N.~Sokolov, V.~I.~Tretyak
\paper Front form of relativistic Lagrangian dynamics in two-dimensional space-time and its connection with the Hamiltonian description
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\yr 1986
\vol 67
\issue 1
\pages 102--114
\mathnet{http://mi.mathnet.ru/tmf4924}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=843802}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 67
\issue 1
\pages 385--394
\crossref{https://doi.org/10.1007/BF01028892}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986E968100010}
Linking options:
  • https://www.mathnet.ru/eng/tmf4924
  • https://www.mathnet.ru/eng/tmf/v67/i1/p102
    • This publication is cited in the following 6 articles:
    1. Jörn Dunkel, Peter Hänggi, “Relativistic Brownian motion”, Physics Reports, 471:1 (2009), 1  crossref
    2. A. NAZARENKO, “ELIMINATION OF THE FIELD DEGREES OF FREEDOM IN RELATIVISTIC SYSTEM OF POINTLIKE CHARGES”, Int. J. Mod. Phys. A, 16:30 (2001), 4865  crossref
    3. V Tretyak, V Shpytko, “Time-asymmetric Fokker-type action and relativistic wave equations”, J. Phys. A: Math. Gen., 33:32 (2000), 5719  crossref
    4. Volodymyr Tretyak, Volodymyr Shpytko, “On Relativistic Mass Spectra of a Two-Particle System”, JNMP, 4:1-2 (1997), 161  crossref
    5. Roman Gaida, Volodymyr Tretyak, “Symmetries of the Fokker-Type Relativistic Mechanics in Various Forms of Dynamics”, JNMP, 3:3-4 (1996), 357  crossref
    6. R. P. Gaida, V. I. Tretyak, Yu. G. Yaremko, “Center-of-mass variables in the relativistic Lagrangian dynamics of a system of particles”, Theoret. and Math. Phys., 101:3 (1994), 1443–1453  mathnet  crossref  mathscinet  zmath  isi
    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 :113
    References:54
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