Existence of localized solutions for a classical nonlinear Dirac field
Abstract
We prove the existence of stationary states for nonlinear Dirac equations of the form: 220_2005_Article_BF01212340_TeX2GIFE1.gif iγ ^μ partial _μ ψ - mψ + F(bar ψ ψ )ψ = 0. We seek solutions which are separable in spherical coordinates and we use a shooting method for solving the associated problem of ordinary differential equations.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- March 1986
- DOI:
- 10.1007/BF01212340
- Bibcode:
- 1986CMaPh.105...35C