Communications in Mathematical Physics

, Volume 105, Issue 1, pp 35–47 | Cite as

Existence of localized solutions for a classical nonlinear Dirac field

  • Thierry Cazenave
  • Luis Vazquez


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.


Differential Equation Neural Network Statistical Physic Complex System Stationary State 
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Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Thierry Cazenave
    • 1
  • Luis Vazquez
    • 2
  1. 1.Analyse NumériqueUniversité Pierre et Marie CurieParis Cedex 05France
  2. 2.Departamento de Fisica Teorica, Facultad de Ciencias FisicasUniversidad ComplutenseMadridSpain

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