Quantum Fields as Pointlike Localized Objects | Zendy

Rehberg Joachim | Zendy; Wollenberg Manfred | Zendy

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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.

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