DERIVATION OF COMPOSITE PARTICLE DYNAMICS BY WEAK MAPPING OF QUANTUM-FIELDS

Alternatively to path integrals quantum fields can be characterized by functional equations. Weak mappings of quantum fields are defined by mappings between such functional equations. This is exemplified for a regularized nonlinear spinor field theory and a boson theory of bound states. A corresponding weak mapping theorem is derived. In the appendix strong mappings, i.e. operator mappings are critically discussed.