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Hamilton—Jacobi quantization of constrained systems

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Abstract

The path integral quantization of contrained systems is analysed using Hamilton-Jacobi formalism. The integrability conditions are investigated and the results are in agreement with those obtained by Dirac’s method.

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References

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

    Google Scholar 

  2. A. Hanson, T. Regge, and C. Teitelboim:Constrained Hamiltonian Systems, Academia Nationale dei Lincei, Rome, 1976.

    Google Scholar 

  3. K. Sundermeyer:Constrained Dynamics, Lecture Notes in Physics, Vol. 169, Springer-Verlag, New York, 1982.

    Google Scholar 

  4. M. Henneaux: Phys. Rep.126 (1985) 1.

    Article  ADS  MathSciNet  Google Scholar 

  5. M. Henneaux and C. Teitelboim:Quantization of Gauge Systems, Princeton University Press, Princeton (New Jersey), 1992.

    MATH  Google Scholar 

  6. S. Shabanov: Phys. Rep.326 (2000) 1.

    Article  ADS  MathSciNet  Google Scholar 

  7. Y. Güler: Nuovo Cimento B100 (1987) 251; 267.

    Article  ADS  Google Scholar 

  8. Y. Güler: Nuovo Cimento B107 (1992) 1143; 1389.

    ADS  Google Scholar 

  9. Y. Güler: Nuovo Cimento B113 (1998) 893.

    ADS  Google Scholar 

  10. Y. Güler: J. Math. Phys.30 (1989) 785.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  11. E. Rabei and Y. Güler: Nuovo Cimento B110 (1995) 893.

    ADS  Google Scholar 

  12. E. Rabei and Y. Güler: Tr. J. Phys.16 (1992) 297.

    Google Scholar 

  13. N.I. Farahat and Y. Güler: Phys. Rev.A51 (1995) 68.

    Article  ADS  MathSciNet  Google Scholar 

  14. C. Carathéodory:Calculus of Variations and Partial Differential Equations of the First Order, Part II, Holden-Day, 1967.

  15. H.A. Kastrup: Phys. Rep.101 (1983) 3.

    Article  ADS  MathSciNet  Google Scholar 

  16. B.M. Pimentel and R.G. Teixeira: Nuovo Cimento B111 (1996) 841.

    MathSciNet  ADS  Google Scholar 

  17. B.M. Pimentel and R.G. Teixeira: Nuovo Cimento B113 B (1998) 805.

    ADS  Google Scholar 

  18. B.M. Pimentel, R.G. Teixeira, and J.L. Tomazelli: Ann. Phys.267 (1998) 75.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  19. D. Baleanu and Y. Güler: Nuovo Cimento B115 (2000) 25.

    ADS  Google Scholar 

  20. D. Baleanu and Y. Güler: Nuovo Cimento B115 (2000) 291.

    ADS  Google Scholar 

  21. D. Baleanu and Y. Güler: J.Phys. A: Math. Gen.34 (2001) 73.

    Article  MATH  ADS  Google Scholar 

  22. D. Baleanu and Y. Güler: Int. Journ. Mod. Phys. A16 (2001) 2391.

    Article  MATH  ADS  Google Scholar 

  23. D. Baleanu and Y. Güler: Mod. Phys. Lett. A16 (2001) 873.

    Article  ADS  MATH  Google Scholar 

  24. D. Dominici, J. Gomis, G. Longhi, and J.M. Pons: J. Math. Phys.25 (1984) 2439.

    Article  MATH  ADS  MathSciNet  Google Scholar 

  25. L.D. Faddeev and S.I. Shatashvili: Phys. Lett. B167 (1986) 225;

    Article  ADS  Google Scholar 

  26. I.A. Batalin and E.S. Fradkin: Phys. Lett. B180 (1986) 156;

    ADS  Google Scholar 

  27. M. Henneaux: Phys. Lett. B315 (1993) 283.

    Article  ADS  MathSciNet  Google Scholar 

  28. R. Rajaraman and P. Mitra: Ann. Phys. (N. Y.)203 (1990) 157;

    Article  MATH  ADS  MathSciNet  Google Scholar 

  29. R. Annishetty and A.S. Vytheeswaran: J. Phys. A26 (1993) 5613.

    Article  ADS  MathSciNet  Google Scholar 

  30. E. Rabei and Y. Güler: Phys. Rev. A46 (1992) 3513.

    Article  ADS  Google Scholar 

  31. C.A. Galvao and J.B.T. Boechat: J. Math. Phys.31 (1989) 448.

    Article  ADS  MathSciNet  Google Scholar 

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BĂleanu, D., Güler, Y. Hamilton—Jacobi quantization of constrained systems. Czech J Phys 51, 1260–1265 (2001). https://doi.org/10.1023/A:1013349415257

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  • DOI: https://doi.org/10.1023/A:1013349415257

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