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Separable interactions in classical relativistic Hamiltonian mechanics

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Abstract

We show the existence of separable interactions in classical relativistic Hamiltonian mechanics of particles interacting at a distance. The framework which is used is that of manifestly covariant systems with constraints.

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References

  1. FoldyL.L., Phys. Rev. 122, 275 (1961); D15, 3044 (1977).

    Google Scholar 

  2. DiracP.A.M., Rev. Mod. Phys. 21, 392 (1949).

    Google Scholar 

  3. WheelerJ.A. and FeynmanR., Rev. Mod. Phys. 21, 425 (1949).

    Google Scholar 

  4. MutzeU., J. Math. Phys. 19, 231 (1978).

    Google Scholar 

  5. FoldyL.L. and KrajcikR.A., Phys. Rev. D12, 1700 (1975).

    Google Scholar 

  6. CoesterF. and HavasP., Phys. Rev. D14, 2566 (1976).

    Google Scholar 

  7. CoesterF., Helv. Phys. Acta. 38, 7 (1965).

    Google Scholar 

  8. SokolovS.N., Teor. Mat. Fiz. 36, 193 (1978); Dokl. Akad. Nauk. SSSR 233, 575 (1977); Sokolov, S.N. and Shatnii, A.N., Teor. Mat. Fiz. 37, 291 (1978).

    Google Scholar 

  9. DiracP.A.M., ‘Lectures on Quantum Mechanics’, Belfer Graduate School of Science Monographs Series, Yeshiva University, New York (1964).

    Google Scholar 

  10. Todorov, I.T., ‘Dynamics of Relativistic Point Particles as a Problem with Constraints’, Dubna preprint, E2-10125 (1976).

  11. SazdjianH., Nucl. Phys. B161, 469 (1979).

    Google Scholar 

  12. KernerE.H., J. Math. Phys. 6, 1218 (1965).

    Google Scholar 

  13. Droz-VincentPh., Nuovo Cim. Lett. 1, 839 (1969); Phys. Scr. 2, 129 (1970); Ann. Inst. H. Poincaré 27, 407 (1977).

    Google Scholar 

  14. PauriM. and ProsperiG.M., J. Math. Phys. 17, 1468 (1976).

    Google Scholar 

  15. CurrieD.G., JordanT.E., and SudarshanE.C.G., Rev. Mod. Phys. 35, 350 (1963); Currie, D.G., J. Math. Phys. 4, 1470 (1963).

    Google Scholar 

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Laboratoire associé au CNRS.

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Sazdjian, H. Separable interactions in classical relativistic Hamiltonian mechanics. Lett Math Phys 5, 319–325 (1981). https://doi.org/10.1007/BF00401480

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  • DOI: https://doi.org/10.1007/BF00401480

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