Virial identities and energy-momentum relation for solitary waves of nonlinear Dirac equations

T. V. Dudnikova


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.

Keywords: nonlinear Dirac equation, Maxwell–Dirac and Klein–Gordon–Dirac equations, solitary waves, Einstein energy-momentum relation.

Language: English

DOI: 10.20948/prepr-2018-12-e