Poisson brackets of the constraints in unified field theory

Philippe H. Droz-Vincent

Annales de l'I.H.P. Physique théorique (1967)

  • Volume: 7, Issue: 4, page 319-331
  • ISSN: 0246-0211

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Droz-Vincent, Philippe H.. "Poisson brackets of the constraints in unified field theory." Annales de l'I.H.P. Physique théorique 7.4 (1967): 319-331. <http://eudml.org/doc/75573>.

@article{Droz1967,
author = {Droz-Vincent, Philippe H.},
journal = {Annales de l'I.H.P. Physique théorique},
language = {eng},
number = {4},
pages = {319-331},
publisher = {Gauthier-Villars},
title = {Poisson brackets of the constraints in unified field theory},
url = {http://eudml.org/doc/75573},
volume = {7},
year = {1967},
}

TY - JOUR
AU - Droz-Vincent, Philippe H.
TI - Poisson brackets of the constraints in unified field theory
JO - Annales de l'I.H.P. Physique théorique
PY - 1967
PB - Gauthier-Villars
VL - 7
IS - 4
SP - 319
EP - 331
LA - eng
UR - http://eudml.org/doc/75573
ER -

References

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  1. [1] Philippe H. Droz-Vincent, Contribution à la quantification des théories relativistes de l'Électromagnétisme et de la Gravitation. Cahier de Phys., t. 18, n° 170, oct. 1964, p. 369-405. 
  2. [2] Stanley Deser and R. Arnowitt, Quantum theory of gravitation: General formulation and linearized theory. Phys. Rev., t. 113, 1959, p. 745. Zbl0083.43201MR101114
  3. [3] R. Arnowitt, S. Deser and C.W. Misner, in Recent advances in Relativity, J. Wiley, editor, New York, 1963. Zbl0096.22102
  4. [4] Albert Einstein, A generalization of the relativistic theory of gravitation. Ann. Math. Princeton, t. 46, 1945, p. 578 and t. 47, 1945, p. 146 and 731. In equation (2), Dρ means covariant derivation defined by the affinity Lμανυ=Γμαν + 2/3 δμαΓνAbout + and — derivations we just follow Einstein's notations. Zbl0060.44113MR14296
  5. [7] J.L. Anderson and P.G. Bergmann, Constraints in covariant field theories. Phys. Rev., t. 83, 1951, p. 1018. Zbl0045.45505MR44382
  6. P.G. Bergmann, Non linear field theories. Phys. Rev., t. 75, 1949, p. 680. Zbl0039.23004MR28128
  7. P.G. Bergmann and J.H.M. Brunings, Non linear field theories, II. Canonical equations and quantization. Rev. Mod. Phys., t. 21, 1949, p. 480. Zbl0041.57306MR32487
  8. [8] P.A.M. Dirac, Canad. Journ. of Math., t. 2, 1950, p. 129; t. 3, 1951, p. 1. Proc. Roy. Soc. A, t. 246, 1958, p. 333. Zbl0036.14104
  9. [9] B.S. De Witt and R.W. Brehme, Ann. of Phys., t. 9, 1960, p. 220. Zbl0092.45003
  10. [10] A. Lichnerowicz, Propagateurs et commutateurs en Relativité générale. Publications Mathématiques de l'Institut des Hautes Études Scientifiques, Paris, n° 10, 1961. Zbl0098.42607MR158726

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