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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
Abstract 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.