Abstract
A problem is considered where a Weyl particle is described in (3 + 1) dimensions. In doing this, we modify the quantization procedure, taking into account the contemporary progress in the understanding of the quantization of models with degenerate coordinates (i.e., with coordinates that enter into the Lagrangian without their time derivatives). The related problem of quantization of classical constants, which is characteristic of the most of pseudo-classical models of relativistic particles, is also discussed.
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REFERENCES
D. M. Gitman, A. E. Gon¸calves, and I. V. Tyutin, Phys. Rev. D., 50, 5439 (1994).
D. M. Gitman and I. V. Tyutin, Hep-th/0201143, Nucl. Phys. B (to be published).
J. L. Cortes and M. S. Plyushchay Hep-th/9602106; K. S. Nirov and M. S. Plyushchay, Phys. Lett. B., 405, 114 (1997).
P. Howe, S. Penati, M. Pernici, and P. Townsend, Phys. Lett. B., 215, 555 (1988).
P. Howe, S. Penati, M. Pernici, and P. Townsend, Class. Quant. Grav., 6, 1125 (1989).
A. Barducci, R. Casalbuoni, D. Dominici, and L. Lusanna, Phys. Lett. B., 100, 126 (1981).
F. A. Berezin and M. S. Marinov, Pisma ZhETF, 21, 678 (1975); F. A. Berezin and M. S. Marinov, Ann. Phys. (N.Y.), 104, 336 (1977); L. Brink, S. Deser, and B. Zumino, et al., Phys. Lett. B., 64, 435 (1976); L. Brink, P. Di Vechia, and P. Howe, Nucl. Phys. B., 118, 76 (1977); R. Casalbuoni, Nuovo Cim. A., 33, 115 (1976); A. Barducci, R. Casalbuoni, and L. Lusanna, Nuovo Cim. A., 35, 377 (1976); A. P. Balachandran, P. Salomonson, B. Skagerstam, and J. Winnberg, Phys. Rev. D., 15, 2308 (1977).
P. Hove, S. Penati, M. Pernici, and P. Townsend, Class. Quantum Grav., 6, 1125 (1989); D. M. Gitman, A. E. Goncalves, and I. V. Tyutin, Int. J. Mod. Phys. A., 10, 701 (1995); Phys. Atomic Nuclei, 60, 748 (1997); D. M. Gitman, in: “Topics in Statistical and Theoretical Physics,” F.A. Berezin Memorial Volume. American Mathematical Society Translation. Ser. 2. V. 177, P. 83. Amer. Math. Soc., Providence, RI (1996); D. M. Gitman and A. E. Gon¸calves, Int. J. Theor. Phys., 35, 2427 (1996); D. M. Gitman and I. V. Tyutin, Int. J. Mod. Phys. A., 12, 535 (1997).
J. L. Cortés, M. S. Plyushchay, and L. Velázquez, Phys. Lett. B., 306, 34 (1993).
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Gitman, D.M., Tyutin, I.V. A Pseudo-classical Model of a Weyl Particle and Quantization of Classical Constants. Russian Physics Journal 45, 690–694 (2002). https://doi.org/10.1023/A:1021253731950
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DOI: https://doi.org/10.1023/A:1021253731950