Higher-Order Wave Equation Within the Duffin–Kemmer–Petiau Formalism

• Published in: Russian physics journal Vol. 59; no. 11; pp. 1948 - 1955
• Main Authors: Markov, Yu. A., Markova, M. A., Bondarenko, A. I.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.03.2017; Springer; Springer Nature B.V
• Subjects: Algebra; Condensed Matter Physics; Deformation; Electromagnetic fields; Formalism; Hadrons; Heavy Ions; Lasers; Mathematical and Computational Physics; Matrices (mathematics); Nuclear Physics; Operators (mathematics); Optical Devices; Optics; Photonics; Physics; Physics and Astronomy; Theoretical; Transformations (mathematics); Wave equations; deformation; Duffin–Kemmer–Petiau theory; third-order wave equation; Fock–Schwinger proper-time representation

Within the framework of the Duffin–Kemmer–Petiau (DKP) formalism a consistent approach to derivation of the third-order wave equation is suggested. For this purpose, an additional algebraic object, the so-called q -commutator ( q is a primitive cubic root of unity) and a new set of matrices η μ inst...