Front Form of Relativistic Lagrangian Dynamics in the Two-Dimensional Space-Time and Its Connection with the Hamiltonian Description

摘要

The Lagrangian relativistic theory in the two-dimensional space-time in the front form of dynamics is formulated and its connections with the predictive mechanics, with the Hamiltonian description, and with the Fokker-type action theory are established. The relations are found in a closed form without using formal expansions. The existence of mathematical limitations on a magnitude of Lagrangians of two-particle interactions is shown. (Atomindex citation 17:025974)