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Lagrangian classical relativistic mechanics of a system of directly interacting particles. II

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Literature Cited

  1. B. P. Gaida, Yu. B. Klyuchkovskii, and V. I. Tretyak, Teor. Mat. Fiz.,44, No. 2 (1980).

    Google Scholar 

  2. S. N. Sokolov, Teor. Mat. Fiz.,36, 193 (1978); S. N. Sokolov and A. N. Shatnii, Teor. Mat. Fiz.,37, 291 (1978).

    Google Scholar 

  3. E. J. B. Goursat, Leçons sur l'Intégration des Équations aux Dérivées Partielles du Premier Ordre, Paris (1891).

  4. M. Pauri and G. M. Prosperi, J. Math. Phys.,17, 1468 (1976).

    Google Scholar 

  5. J. Martin and J. L. Sanz, J. Math. Phys.,19, 780 (1978).

    Google Scholar 

  6. H. W. Woodcock and P. Havas, Phys. Rev. D,6, 3422 (1972).

    Google Scholar 

  7. L. Mas, C. R. Acad. Sci. Ser. A,271, 206 (1970).

    Google Scholar 

  8. R. P. Gaida, Acta Phys. Pol. B,5, 613 (1974).

    Google Scholar 

  9. V. N. Golubenkov and Ya. A. Smorodinskii, Zh. Eksp. Teor. Fiz.,31, 330 (1956).

    Google Scholar 

  10. A. A. Pantyushin, in: Gravitation and the Theory of Relativity, No. 6 [in Russian] (1969), p. 30; T. Kimura and K. Hilda, Prog. Theor. Phys.,50, 492 (1973).

  11. Yu. B. Klyuchkovskii and R. P. Gaida, Ukr. Fiz. Zh.,22, 617 (1977).

    Google Scholar 

  12. F. J. Kennedy, J. Math. Phys.,10, 1349 (1969).

    Google Scholar 

  13. B. A. Trubnikov and V. V. Kosachev, Zh. Eksp. Teor. Fiz.,66, 1311 (1974).

    Google Scholar 

  14. H. J. Bhabha, Phys. Rev.,70, 759 (1946).

    Google Scholar 

  15. E. H. Kerner, J. Math. Phys.,3, 35 (1962).

    Google Scholar 

  16. R. Marnelius, Phys. Rev. D,10, 2535 (1974).

    Google Scholar 

  17. L. V. Ovsyannikov, Group Analysis of Differential Equations [in Russian], Nauka (1978).

  18. D. G. Currie, Phys. Rev.,142, 817 (1966); R. N. Hill, J. Math. Phys.,8, 201 (1967).

    Google Scholar 

  19. L. Bel, Ann. Inst. H. Poincaré,12A, 307 (1970);14A, 189 (1971).

    Google Scholar 

  20. J. Martin and J. L. Sanz, J. Math. Phys.,19, 1887 (1978).

    Google Scholar 

  21. L. Bel, A. Salas, and J. M. Sanchez, Phys. Rev. D,7, 1099 (1973); A. Salas and J. M. Sánchez-Ron, Nuovo Cimento B,20, 209 (1974); R. Lapiedra and L. Mas, Phys. Rev. D,13, 2805 (1976).

    Google Scholar 

  22. L. Bel and J. Martin, Phys. Rev. D,9, 2760 (1974); J. M. Sánchez-Ron, J. Phys. A,9, 1877 (1976).

    Google Scholar 

  23. J. M. Diez Gil and A. Salas, J. Phys. A, 8, 195 (1975).

    Google Scholar 

  24. Z. V. Khukhunashvili, Izv. Vyssh. Uchebn. Zaved. Fiz., No. 3, 95 (1971).

    Google Scholar 

  25. D. G. Currie, T. F. Jordan, and E. C. G. Sudarshan, Rev. Mod. Phys.,35, 350 (1963).

    Google Scholar 

  26. T. F. Jordan, Phys. Rev.,166, 1308 (1968).

    Google Scholar 

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Institute of Applied Problems of Mechanics and Mathematics, Ukrainian SSR Academy of Sciences. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 45, No. 2, pp. 180–198, November, 1980.

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Gaida, R.P., Klyuchkovskii, Y.B. & Tretyak, V.I. Lagrangian classical relativistic mechanics of a system of directly interacting particles. II. Theor Math Phys 45, 963–975 (1980). https://doi.org/10.1007/BF01028593

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