PATH INTEGRAL FOR FREE RELATIVISTIC SPINNING PARTICLE

Authors

  • S ZEGGARI Université Mentouri Constantine

Keywords:

Path-integral, Dirac particle, relativistic equation

Abstract

The purpose of this paper is to investigate the path integral representation of Dirac propagator by considering the case of the free spinning particle. Thanks to the introduction of a suitable transformation, the domain of integrations over Grassmannian variables becomes free from the restriction and then via the Grassmannian sources, the integration over relative velocities are readily carried out. Such a way of calculation allows us to get the explicit spinor structure of the propagator.

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Author Biography

S ZEGGARI, Université Mentouri Constantine

Département de Physique
Faculté des sciences

References

- Feynman R.P. and Hibbs A.R., "Quantum Mechanics and Path Integrals", Mc. Graw-Hill, New York.

- Schulman L.S., "Techniques and Application of Path Integration", John Wiley, New York, (1981).

- Barut A.O. and N. Zanghi, Phys. Lett., 52,(1984), p. 2009.

- Berezin F.A. and Marinov M.S., Ann. Phys., 104, (1977), p. 366.

- Fradkin E.S. and Gitman D.M., Phys. Rev., D44, (1991), p. 3230.

- Zeggari S., Boudjedaa T. and Chetouani L., "Exact Path Integral for Relativistic Spinning Particle in Interaction with Plane Wave Field" (submitted).

- Gitman D.M., Zlatev S.I. and Cruz W.D., Brazilian J. Phys., 26, (1996), p. 419.

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Published

2001-06-01

How to Cite

ZEGGARI, S. (2001). PATH INTEGRAL FOR FREE RELATIVISTIC SPINNING PARTICLE. Sciences & Technology. A, Exactes Sciences, (15), 53–56. Retrieved from https://revue.umc.edu.dz/a/article/view/1742

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