Klein-Gordon-Dirac equation: physical justification and quantization attempts
type: Item
instance of: scholarly article
title: Klein-Gordon-Dirac equation: physical justification and quantization attempts
zbMATH Open document ID: 1026.81011
DOI: 10.1016/S0034-4877(02)80023-4
author: V. Kovalchuk
author: J. J. Sławianowski
published in: Reports on Mathematical Physics
publication date: 2003-01-22T00:00:00Z
review text: This paper concerns the Klein-Gordon-Dirac equation. A general solution of this equation, as a superposition of two Dirac plane harmonic waves with different masses has been obtained. The multiplication rules for Dirac bispinors with different masses have been found. Using the Lagrange formalism, the energy-momentum tensor and 4-current are received. It has been shown that the scalar product is a superposition of Klein-Gordon and Dirac scalar products.
Mathematics Subject Classification ID: 81Q05
Mathematics Subject Classification ID: 81R20
Mathematics Subject Classification ID: 81R25
Mathematics Subject Classification ID: 70H15
zbMATH DE Number: 1857360
zbMATH Keywords: Klein-Gordon-Dirac equation
zbMATH Keywords: plane harmonic waves
zbMATH Keywords: Dirac bispinors
zbMATH Keywords: Lagrange formalism
zbMATH Keywords: canonical formalism
reviewed by: Laura Iulia Aniţa
MaRDI profile type: Publication
cites work: \(U(2,2)\)-invariant spinorial geometrodynamics
cites work: Q4040663
description: scientific article; zbMATH DE number 1857360