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Operator quantization and abelization of dynamical systems subject to first-class constraints

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References

  1. P. A. M. Dirac:Can. J. Math.,2, 129 (1950).

    Article  MathSciNet  MATH  Google Scholar 

  2. P. A. M. Dirac:Proc. R. Soc. London, Ser. A,249, 326 (1958).

    Article  MathSciNet  ADS  Google Scholar 

  3. P. A. M. Dirac:Lectures on Quantum Mechanics (Yeshiva University Press, New York, N. Y., 1964).

    Google Scholar 

  4. J. Anderson andP. Bergmann:Phys. Rev.,83, 1018 (1951).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. P. Bergmann andI. Goldberg:Phys. Rev.,98, 531 (1955).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  6. P. Bergmann:Rev. Mod. Phys.,33, 510 (1961).

    Article  MathSciNet  ADS  Google Scholar 

  7. A. Hanson, T. Regge andC. Teitelboim:Constrained Hamiltonian Systems (Accademia dei Lincei, Roma, 1976).

    Google Scholar 

  8. K. Sundermeyer:Constrained Dynamics, Lecture Notes in Physics, Vol.169 (Springer-Verlag, Berlin, 1982).

    Google Scholar 

  9. M. Henneaux:Phys. Rep.,126, 1 (1985).

    Article  MathSciNet  ADS  Google Scholar 

  10. T. Kugo andI. Ojima:Phys. Lett. B,73, 459 (1978).

    Article  ADS  Google Scholar 

  11. T. Kugo andI. Ojima:Prog. Theor. Phys. Suppl. (Japan),66, 1 (1979).

    Article  ADS  Google Scholar 

  12. K. Nishijima:Nucl. Phys. B,238, 601 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  13. I. A. Batalin andE. S. Fradkin: preprints of Lebedev Physical Institute No. 132 and No. 201 (1986), to appear inNucl. Phys. B andPhys. Lett. B, respectively.

  14. F. A. Berezin:Sov. Theor. Math. Phys.,6, 194 (1971).

    MathSciNet  MATH  Google Scholar 

  15. L. D. Faddeev:Teor. Mat. Fiz.,1, 3 (1969).

    Article  MathSciNet  Google Scholar 

  16. E. S. Fradkin:Hamiltonian formalism in covariant gauge and the measure in quantum gravity, Acta University Wratislav (1973),Proceedings of the X Winter School of Theoretical Physics in Karpacs, No.207, p. 93.

  17. E. S. Fradkin andG. A. Vilkovisky:Phys. Lett. B,55, 224 (1975).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. I. A. Batalin andG. A. Vilkovisky:Phys. Lett. B,69, 309 (1977).

    Article  ADS  Google Scholar 

  19. E. S. Fradkin andT. E. Fradkina:Phys. Lett. B,72, 343 (1978).

    Article  ADS  Google Scholar 

  20. E. S. Fradkin andG. A. Vilkovsky:Lett. Nuovo Cimento,13, 187 (1975).

    Article  Google Scholar 

  21. E. S. Fradkin andM. A. Vasiliev:Phys. Lett. B,72, 70 (1977).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  22. I. A. Batalin andE. S. Fradkin:Phys. Lett. B,122, 157 (1983).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  23. I. A. Batalin andE. S. Fradkin:Lett. Nuovo Cimento,38, 393 (1983).

    Article  MathSciNet  Google Scholar 

  24. E. S. Fradkin andG. A. Vilkovsky:Phys. Rev. D,8, 4241 (1973).

    Article  MathSciNet  ADS  Google Scholar 

  25. I. V. Tyutin:Gauge invariance in field theory and statistical physics in operatorial formulation, preprint of Lebedev Physics Institute, No. 39 (1975).

  26. T. Kugo andI. Ojima:Prog. Theor. Phys. Suppl. (Japan),66, 1 (1979).

    Article  ADS  Google Scholar 

  27. I. A. Batalin andE. S. Fradkin:Phys. Lett. B,128, 303 (1983).

    Article  MathSciNet  ADS  Google Scholar 

  28. I. A. Batalin andE. S. Fradkin:Yad. Fiz.,39, 231 (1984).

    MathSciNet  Google Scholar 

  29. I. A. Batalin andE. S. Fradkin:J. Math. Phys. (N. Y.),25, 2426 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  30. E. S. Fradkin:Green function method in the theory of quantized fields and in quantum statistics, inQuantum Field Theory and Hydrodynamics, Proceedings of P. N. Lebedev Physical Institute, Vol.29 (1965), p. 7 (translation: Consultants Bureau, New York, N. Y., 1967).

  31. E. S. Fradkin:Nucl. Phys.,76, 588 (1966).

    Article  MathSciNet  Google Scholar 

  32. E. S. Fradkin:On the functional method in quantum statistics and many particle theory, inN. N. Bogoliubov's 60th Anniversary Issue (Nauka, Moscow, 1969), p. 386.

    Google Scholar 

  33. E. S. Fradkin:S-matrix for nonlinear Lagrangians of general from, inI. E. Tamm Memorial Issue (Nauka, Moscow, 1972), p. 146.

    Google Scholar 

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Authors and Affiliations

  1. Physical Lebedev Institute, Moscow

    I. A. Batalin & E. S. Fradkin

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  1. I. A. Batalin
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  2. E. S. Fradkin
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Batalin, I.A., Fradkin, E.S. Operator quantization and abelization of dynamical systems subject to first-class constraints. Riv. Nuovo Cim. 9, 1–48 (1986). https://doi.org/10.1007/BF02729827

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