Canonical quantum theory of a system of relativistic particles

Natalia N. Gorobey; Alexander S. Lukyanenko

doi:10.1117/12.619484

29 April 2005 Canonical quantum theory of a system of relativistic particles

Natalia N. Gorobey, Alexander S. Lukyanenko

Proceedings Volume 5831, Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering; (2005) https://doi.org/10.1117/12.619484
Event: Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, 2004, St. Petersburg, Russian Federation

Abstract

Canonical quantization of a system of relativistic particles is considered. The main property of the theory is the invariance of the action under re-paramterization of world lines of all particles. An obstacle for the canonical approach is that the action has no Langrangian form. Our proposal is to represent the particle mass as an integral of the corresponding density and to consider the density as an independent dynamical variable. We formulate the new action principle, which is equivalent to original one and has Lagrangian form. The approach may be realized for the canonical quantization of the direct interaction of particles in Fokker representation of electrodynamics.

Citation Download Citation

Natalia N. Gorobey and Alexander S. Lukyanenko "Canonical quantum theory of a system of relativistic particles", Proc. SPIE 5831, Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (29 April 2005); https://doi.org/10.1117/12.619484

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