Generalized Weinberg-Tucker-Hammer equations in the Petiau-Duffin-Kemmer form

TL;DR

This paper develops a generalized formalism for vector particles using Weinberg-Tucker-Hammer equations in the Petiau-Duffin-Kemmer framework, deriving solutions, conserved quantities, and quantization methods.

Contribution

It introduces a generalized approach to vector particle equations in the Petiau-Duffin-Kemmer formalism, including solutions, Lagrangian formulation, and quantization procedures.

Findings

Derived matrix-dyad solutions for the equations.

Obtained conserved electric current and energy-momentum tensor.

Performed canonical quantization and derived the propagator.

Abstract

Massive and massless vector particles, in the framework of generalized Weinberg-Tucker-Hammer equations, are considered in the Petiau-Duffin-Kemmer formalism. We obtain solutions of equations in the form of matrix-dyads. The Lagrangian is defined in the matrix form and the conserved electric current and the energy-momentum tensor are obtained. The canonical quantization is performed and the propagator of massive fields is found in the formalism considered.