Journal of Physical Studies 7(4), 367–374 (2003) DOI: https://doi.org/10.30970/jps.07.367 LAGRANGIAN AND HAMILTONIAN FUNCTIONS FOR RELATIVISTIC SYSTEM OF CHARGED PARTICLES L. F. Blazhyjevskyj, B. V. Budnyj, Yu. S. Krynytskyj Ivan Franko National University of Lviv, Department for Theoretical Physics 12 Drahomanov Str., Lviv, UA-79005, Ukraine

A relativistic generalization of Lagrangian and Hamiltonian functions for the classical system of charged particles is considered. Local Lagrangian expression in the first approximation by the coupling constant $e^2$ is obtained. This result is shown to be ambiguous. However, this ambiguity does not affect the considered approximation. Relativistic Hamiltonian function with screened interaction is found on applying some additional approximations.

PACS number(s): 05.20.-y, 03.30.+p, 03.50.De

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