Solutions of Podolsky's Electrodynamics Equation in the First-Order Formalism
Abstract
The Podolsky generalized electrodynamics with higher derivatives is formulated in the first-order formalism. The first-order relativistic wave equation in the 20-dimensional matrix form is derived. We prove that the matrices of the equation obey the Petiau-Duffin-Kemmer algebra. The Hermitianizing matrix and Lagrangian in the first-order formalism are given. The projection operators extracting solutions of field equations for states with definite energy-momentum and spin projections are obtained, and we find the density matrix for the massive state. The -matrix Schrodinger form of the equation is derived, and the Hamiltonian is obtained. Projection operators extracting the physical eigenvalues of the Hamiltonian are found.
Keywords
Cite
@article{arxiv.0907.1706,
title = {Solutions of Podolsky's Electrodynamics Equation in the First-Order Formalism},
author = {S. I. Kruglov},
journal= {arXiv preprint arXiv:0907.1706},
year = {2014}
}
Comments
17 pages, minor corrections, published version