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Derivation of Composite Particle Dynamics by Weak Mapping of Quantum Fields
Author(s) -
Kerschner R.,
Stumpf H.
Publication year - 1991
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19915030106
Subject(s) - physics , path integral formulation , quantum field theory , operator (biology) , spinor , quantum , field (mathematics) , boson , nonlinear system , mathematical physics , quantum mechanics , pure mathematics , mathematics , biochemistry , chemistry , repressor , transcription factor , gene
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.