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Existence of localized solutions for a classical nonlinear Dirac field |
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| Authors: | Thierry Cazenave Luis Vazquez |
| Institution: | 1. Analyse Numérique, Université Pierre et Marie Curie, 4, place Jussieu, F-75230, Paris Cedex 05, France 2. Departamento de Fisica Teorica, Facultad de Ciencias Fisicas, Universidad Complutense, S-28040, Madrid, Spain |
| Abstract: | We prove the existence of stationary states for nonlinear Dirac equations of the form: $$i\gamma ^\mu \partial _\mu \psi - m\psi + F(\bar \psi \psi )\psi = 0.$$ We seek solutions which are separable in spherical coordinates and we use a shooting method for solving the associated problem of ordinary differential equations. |
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