Interplay between Dynamic Systems Described by the Klein-Gordon and Dirac Equations

1999/05/20 by Yuri A. Rylov, Rylov, Yuri A.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/9905016

13 pages

arxiv created 1999/05/20 · arxiv updated 2009/11/30

Abstract

It is shown that in the two-dimensional space-time the dynamic system, described by the free Klein-Gordon equation, turns to the dynamic system, described by the free Dirac equation, provided the current and the energy-momentum tensor are redefined in a proper way.

Related

• Unification of classic and quantum mechanics
• Stationary Solutions of the Klein-Gordon Equation in a Potential Field
• The Dirac equation: historical context, comparisons with the Schrödinger and Klein-Gordon equations, and elementary consequences
• Positive Conserved Quantities in the Klein-Gordon Equation
• The Birth of Quantum Mechanics and the Dirac Equation