
doi: 10.1063/1.1420742
The aim of this article is to study certain Lorentz invariant Lagrangians. The first of these Lagrangians could be related to a particle of spin 12 moving in a particular Yang–Mills gauge field. The second Lagrangian is related to the relativistic Newton–Coulomb problem. For each of these Lagrangians, we write the corresponding wave equations and determine the negative energy levels. The article concludes with the construction of a class of Lagrangians associated with pairs of particles, one of which has zero mass.
Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems, Finite-dimensional groups and algebras motivated by physics and their representations, Symmetries, Lie group and Lie algebra methods for problems in mechanics, Applications of Lie groups to the sciences; explicit representations, Yang-Mills and other gauge theories in quantum field theory
Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems, Finite-dimensional groups and algebras motivated by physics and their representations, Symmetries, Lie group and Lie algebra methods for problems in mechanics, Applications of Lie groups to the sciences; explicit representations, Yang-Mills and other gauge theories in quantum field theory
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