The Characteristic Functions and Their Typical Values for the Nonlinear Spinors

Abstract

In this paper, we solve the eigen solutions to some nonlinear spinor equations, and compute several functions reflecting their characteristics. The numerical results show that, the nonlinear spinor equation has only finite meaningful eigen solutions, which have positive discrete mass spectra and anomalous magnetic moment. The nonlinear potential and interactions yield different contributions to the total energy, and these components of the energy lead to different energy-speed relation. The magnitude of these components can be detected by elaborate experiments. The weird properties of the nonlinear spinors might be closely related with the elementary particles and their interactions, so some deeper investigations on them are significant.

22 pages, 7 figures

References in corpus (5)

• Symmetries and Exact Solutions of Nonlinear Dirac Equations
• The Vierbein Formalism and Energy-Momentum Tensor of Spinors
• The covariant derivatives and energy momentum tensor of spinors
• Eigen Equation of the Nonlinear Spinor
• Why E = mc^2 Emerges in the Process of Neutron Capture

Cited by in corpus (5)

• The covariant derivatives and energy momentum tensor of spinors
• Natural Coordinate System in Curved Space-time
• Eigen Equation of the Nonlinear Spinor
• Mass Spectrum of Dirac Equation with Local Parabolic Potential
• Nonlinear Spinors as the Candidate of Dark Matter