Existence of localized solutions for a classical nonlinear Dirac field
- Cite this article as:
- Cazenave, T. & Vazquez, L. Commun.Math. Phys. (1986) 105: 35. doi:10.1007/BF01212340
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We prove the existence of stationary states for nonlinear Dirac equations of the form:
We seek solutions which are separable in spherical coordinates and we use a shooting method for solving the associated problem of ordinary differential equations.
$$i\gamma ^\mu \partial _\mu \psi - m\psi + F(\bar \psi \psi )\psi = 0.$$
© Springer-Verlag 1986