Differential and Integral Equations
- Differential Integral Equations
- Volume 17, Number 9-10 (2004), 971-982.
Structure of Dirac matrices and invariants for nonlinear Dirac equations
Tohru Ozawa and Kazuyuki Yamauchi
Abstract
We present invariants for nonlinear Dirac equations in space-time ${\mathbb R}^{n+1}$, by which we prove that a special choice of the Cauchy data yields free solutions. Our argument works for Klein-Gordon-Dirac equations with Yukawa coupling as well. Related problems on the structure of Dirac matrices are studied.
Article information
Source
Differential Integral Equations, Volume 17, Number 9-10 (2004), 971-982.
Dates
First available in Project Euclid: 21 December 2012
Permanent link to this document
https://projecteuclid.org/euclid.die/1356060310
Mathematical Reviews number (MathSciNet)
MR2082456
Zentralblatt MATH identifier
1150.35522
Subjects
Primary: 35Q40: PDEs in connection with quantum mechanics
Secondary: 81V10: Electromagnetic interaction; quantum electrodynamics
Citation
Ozawa, Tohru; Yamauchi, Kazuyuki. Structure of Dirac matrices and invariants for nonlinear Dirac equations. Differential Integral Equations 17 (2004), no. 9-10, 971--982. https://projecteuclid.org/euclid.die/1356060310
