Lagrangian Formalism in Relativistic Dynamics
- 1 July 1961
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 123 (1) , 384-390
- https://doi.org/10.1103/physrev.123.384
Abstract
A covariant Lagrangian formalism is put forward with an explicit variation of the proper time in the action functional. This approach conforms with the geometrical interpretation in space-time. A general equation of motion is derived, which is not identical with the Euler-Lagrange equation. Momentum and mass are unambiguously defined through the requirement of translational invariance. The rest mass is constant in the special case of electromagnetic field only. A conservation law for the combination of the momentum and the energy momentum-tensor of the free field is derived. No satisfactory Hamiltonian formalism can be established within the framework of the formalism.Keywords
This publication has 10 references indexed in Scilit:
- Theory of Elementary ParticlesPhysics Today, 1960
- Equations of Motion of Point Particles in Fields of Nonzero Rest Mass and SpinPhysical Review B, 1959
- On the Classical Theory of Particles Interacting with Electromagnetic and Mesonic Fields. IPhysical Review B, 1954
- The Classical Equations of Motion of Point Particles. IIPhysical Review B, 1953
- The Classical Equations of Motion of Point Particles. IPhysical Review B, 1952
- On the equations of motion of point particlesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1946
- On the fields and equations of motion of point particlesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1946
- On the theory of point-particlesProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1944
- The Equations of Motion in ElectrodynamicsPhysical Review B, 1940
- Classical theory of radiating electronsProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1938