Canonical Formalism in Special Relativity

Details Canonical Formalism in Special Relativity Canonical Formalism in Special Relativity

2009-08-25

arxiv.org/abs/0908.3526v1

Bulletin d lAcademie royale de Belgique (Classe des Sciences) 5e serie Tome 58 1972-1 p. 86-104

Physics

Mathematical Physics

19 pages

Scientific paper

A covariant Hamiltonian description was introduced in the dynamics of charges and electromagnetic interaction. By a canonical transformation this Hamiltonian formalism was transformed to obtain the Dirac generators for any form of relativistic dynamics, as coefficients of a first degree polynomial in the ten translation and rotation velocities of the Poincar\'e transformation. The Currie's world line conditions were generalized to any form of the dynamics. The explicit relation between the covariant field variables and the more usual 3-dimensional Fourier variables was derived.

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