Premium
Quantum Fields as Pointlike Localized Objects
Author(s) -
Rehberg Joachim,
Wollenberg Manfred
Publication year - 1986
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19861250120
Subject(s) - observable , meaning (existential) , mathematics , operator (biology) , space (punctuation) , point (geometry) , theoretical physics , quantum , sesquilinear form , energy (signal processing) , pure mathematics , linguistics , epistemology , physics , quantum mechanics , philosophy , geometry , hermitian matrix , statistics , biochemistry , chemistry , repressor , transcription factor , gene
We show that W ightman fields are always well defined objects at each space‐time point in the meaning of sesquilinear forms. These sesquilinear forms “sandwiched” with e –cH ( H is the energy operator) are closable operators. We use these results to extend some assertions of F redenhagen and H ertel about the recovering of W ightman fields from a H aag ‐K astler theory of local observables.