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On non-singular generalised dynamical formalisms

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Abstract

This work shows that a certain class of classical dynamical formalisms, characterised by non-singular Lie structures more general than the usual (Poisson) one, are derivable from ordinary constrained dynamical formalisms. As a consequence, the Lie brackets considered are special cases of suitably chosen Dirac brackets. Both unconstrained and constrained generalised dynamical formalisms are considered. The relations of our results with the problem of constructing classical analogues of generalised quantum systems are stressed.

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References

  • Bergmann, P. G. and Goldberg, I. (1955).Physical Review,98, 531.

    Google Scholar 

  • Cawley, R. G. (1969).Journal of Mathematical Physics,10, 928.

    Google Scholar 

  • Dirac, P. A. M. (1950).Canadian Journal of Mathematics,2, 129.

    Google Scholar 

  • Dirac, P. A. M. (1958).The Principles of Quantum Mechanics, Fourth Edition. Oxford, Clarendon Press.

    Google Scholar 

  • Dirac, P. A. M. (1964).Lectures on Quantum Mechanics, Belfer Graduate School of Sciences Monograph Series No. 2. Yeshiva University, New York.

    Google Scholar 

  • Droz-Vincent, P. (1966).Annales de l'Institut Henri Poincaré, Sec. A,5, 257.

    Google Scholar 

  • Franke, W. and Kálnay, A. J. (1970).Journal of Mathematical Physics,11, 1729.

    Google Scholar 

  • Kálnay, A. J. and Ruggeri, G. J. (1972).International Journal of Theoretical Physics, Vol. 6, No. 3, 167.

    Google Scholar 

  • Kálnay, A. J. (1972).International Journal of Theoretical Physics, Vol. 6, No. 6, 415.

    Google Scholar 

  • Martin, J. L. (1959).Proceedings of the Royal Society, Ser. A,251, 536.

    Google Scholar 

  • Mukunda, N. and Sudarshan, E. C. G. (1968).Journal of Mathematical Physics,9, 411.

    Google Scholar 

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  1. Departamento de Fisica, Facultad de Ciencias, Universidad Central de Venezuela, Caracas, Venezuela

    G. J. Ruggeri

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  1. G. J. Ruggeri
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Ruggeri, G.J. On non-singular generalised dynamical formalisms. Int J Theor Phys 8, 253–262 (1973). https://doi.org/10.1007/BF00678491

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  • DOI: https://doi.org/10.1007/BF00678491

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