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Singular lagrangian formalism in particle dynamics, I

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Part of the book series: Lecture Notes in Physics ((LNP,volume 162))

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References

  1. H. Rund, “The Hamilton-Jacobi Theory in the Calculus of Variations”, Van Nostrand 1966; idem. “Tensors, Differential Forms, and Variational principles”, J. Wiley and Sons, New York, 1975.

    Google Scholar 

  2. P.A.M. Dirac, Proc. Camb. Phil. Soc., 29,389 (1933).

    Google Scholar 

  3. R. Casalbuoni, J. Gomis and G. Longhi, Nuovo Cimento, 24A,249 (1974).

    Google Scholar 

  4. For the generalization on the relativistic spin particle see

    Google Scholar 

  5. A. Barducci, R. Casalbuoni and L. Lusanna, Nuovo Cimento 35A,377 (1976); Phys. Lett. 64B,319(1976).

    Google Scholar 

  6. L. Lusanna, “Recent Developements in Classical Relativistic Mechanics with Constraints”, Genève Univ. Preprint, UGVA-DPT 1981/ 05-298, and references quoted therein.

    Google Scholar 

  7. P.A.M. Dirac, Canad. J. Math. 2,129 (1950); and 3,1(1951); Proc. Roy. Soc. London A246,326(1758); “Lectures on Quantum Mechanics”, Belfer Graduate School, Yeshiva Univ., 1964.

    Google Scholar 

  8. K. Kamimura and T. Shimizu, Prog. Theor. Phys. 58,383 (1977).

    Google Scholar 

  9. D. Dominici, J.Gomis and G. Longhi, Nuovo Cimento 48B,152 (1978); 48A,257(1978); 56A,263(1980).

    Google Scholar 

  10. S. Shanmugadhasan, J. Math. Phys. 14,677 (1973).

    Article  Google Scholar 

  11. E.C.G. Sudarshan and N. Mukunda, “Classical Dynamics: a Modern Perspective”, J. Wiley and S., New York, 1974.

    Google Scholar 

  12. Ph. Droz-Vincent, Lett. Nuovo Cimento 1,839 (1969); and206(1973); Phys. Scripts 2,129(1970); Re. Math. Phys. 8,9(1975); Ann. Inst. H. Poincaré 27,407(1977); Phys. Rev. DI9,702(1970.

    Google Scholar 

  13. I.T. Todorov, “Dynamics of Relativistic point Particles as a problem with constraints”, Comm. of the JINR, EZ-10125 Dubna(1976); “Constraint Hamiltonian Dynamics of Directly Interacting Relativistic Point Particles”, Lectures at the Summer School in Math. Phys. Bogazici Univ., Bebek, Instanbul, 1979, and at the 17th. Winter School of Theor. Phys., Karpacz 1980; “Constraint Hamiltonian Approach to Relativistic Point Particles Dynamics”, Lectures at the ICTP Trieste, 1980.

    Google Scholar 

  14. A. Komar, Phys. Rev. D18,1881,1887 and 3017(1978); D19,2908(1979).

    Google Scholar 

  15. V.V. Molotkov and I.T. Todorov, Comm. Math. Phys. 79,11 (1981).

    Article  Google Scholar 

  16. A. Kihlberg, R. Marnelius and N. Mukunda, Phys. Rev. D23,2201 (1981).

    Google Scholar 

  17. N. Mukunda and E.C.G. Sudarshan, Phys. Rev. D23,2210 (1981).

    Google Scholar 

  18. E.C.G. Sudarshan, N. Mukunda and J.N. Goldberg, Phys. Rev. D23, 2218 (1981).

    Google Scholar 

  19. J.N. Goldberg, E.C.G. Sudarshan and N. Mukunda, Phys. Rev. D23, 2231 (1981).

    Google Scholar 

  20. L. Lusanna, “Gauge-fixings, Evolution Generators and World-line Conditions in Relativistic Classical Mechanics with Constraints”, Gèneve Univ. preprint, UGVA-DPT 1981/04-289.

    Google Scholar 

  21. Ph. Droz-Vincent, Ann. Inst. H. Poincaré 27,407 (1977).

    Google Scholar 

  22. S. Weinberg, Phys. Rev. 133, B 1318 (1964).

    Google Scholar 

  23. L. Bel, “Mechanica Relativistica Predictiva“, curso Dep. Fis. Teor. Barcelona Univ. UAB FT-34, 1977; Ann. Inst. H. Poincaré 14,18(1971).

    Google Scholar 

  24. L. Bel and J. Martin, Ann. Inst. H. Poincaré 22,173 (1975); 33,409 (1980).

    Google Scholar 

  25. L. Bel and F.X. Fustero, Ann. Inst. H. Poincaré 25,411 (1976).

    Google Scholar 

  26. M. Kalb and P. Van Alstine, “Invariant Singular Action for the Relativistic Two-Body Problem: a Hamiltonian Formulation” Yale report C00-3075-146, 1976.

    Google Scholar 

  27. T. Takabayasi, Prog. Theor. Phys. 57,331 (1977).

    Google Scholar 

  28. J. Gomis, J.A. Lobo and J.M. Pons, “A singular Lagrangian Model for two Interacting Relativistic Particles”, Ann. Inst. H. Poincarè XXXV, 17(1981).

    Google Scholar 

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J. Llosa

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© 1982 Springer-Verlag

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Longhi, G. (1982). Singular lagrangian formalism in particle dynamics, I. In: Llosa, J. (eds) Relativistic Action at a Distance: Classical and Quantum Aspects. Lecture Notes in Physics, vol 162. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11573-0_9

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  • DOI: https://doi.org/10.1007/3-540-11573-0_9

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