2003•Hokkaido University Collection of Scholarly and Academic Papers (Hokkaido University)Open access

Structure of Dirac matrices and invariants for nonlinear Dirac equations

Tohru Ozawa, 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.

Open-access reader

About this research paper

What this paper is about

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Key concepts: Dirac (video compression format), Dirac algebra, Dirac equation, Two-body Dirac equations, Yukawa potential, Dirac spinor, Dirac measure, Mathematical physics