Solutions of Podolsky's Electrodynamics Equation in the First-Order Formalism

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Kruglov, S. I.
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Abstract
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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 $13\times 13$-matrix Schrodinger form of the equation is derived, and the Hamiltonian is obtained. Projection operators extracting the physical eigenvalues of the Hamiltonian are found.
Comment: 17 pages, minor corrections, published version
Keywords
High Energy Physics - Theory, General Relativity and Quantum Cosmology, High Energy Physics - Phenomenology, Quantum Physics
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