Abstract

Solitary waves of nonlinear Dirac, Maxwell–Dirac and Klein–Gordon–Dirac equations are considered. We deduce some virial identities and check that the energy-momentum relation for solitary waves coincides with the Einstein energy-momentum relation for point particles.

中文翻译：

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非线性狄拉克方程孤波的病毒恒等式和能量动量关系

摘要

考虑了非线性Dirac，Maxwell-Dirac和Klein-Gordon-Dirac方程的孤波。我们推导了一些病毒身份，并检查了孤波的能量动量关系是否与点粒子的爱因斯坦能量动量关系一致。