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Proceedings Paper

Canonical quantum theory of a system of relativistic particles
Author(s): Natalia N. Gorobey; Alexander S. Lukyanenko
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Paper 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.

Paper Details

Date Published: 29 April 2005
PDF: 5 pages
Proc. SPIE 5831, Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering, (29 April 2005); doi: 10.1117/12.619484
Show Author Affiliations
Natalia N. Gorobey, St. Petersburg State Polytechnical Univ. (Russia)
Alexander S. Lukyanenko, St. Petersburg State Polytechnical Univ. (Russia)


Published in SPIE Proceedings Vol. 5831:
Eighth International Workshop on Nondestructive Testing and Computer Simulations in Science and Engineering
Alexander I. Melker, Editor(s)

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