Lagrangian and Hamiltonian Formalisms for Relativistic Mechanics with Lorentz-Invariant Evolution Parameters in 1 + 1 Dimensions

Lagrangian and Hamiltonian Formalisms for Relativistic Mechanics with Lorentz-Invariant Evolution Parameters in 1 + 1 Dimensions

This article presents alternative Hamiltonian and Lagrangian formalisms for relativistic mechanics using proper time and proper Lagrangian coordinates in 1 + 1 dimensions as parameters of evolution. The Lagrangian and Hamiltonian formalisms for a hypothetical particle with and without charge are con...

Full description

Bibliographic Details
Main Authors: Nikolai S. Akintsov, Artem P. Nevecheria, Gennadii F. Kopytov, Yongjie Yang
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Symmetry
Subjects:
Lagrangian coordinate
relativistic Hamiltonian
action function
Hamilton–Jacobi–Lagrange equation
angular integral of particle motion
double special relativity
Online Access:https://www.mdpi.com/2073-8994/15/9/1691

Internet

https://www.mdpi.com/2073-8994/15/9/1691

Similar Items