Convergence of Infinite Series in Bosonic Second Quantization

The functor of second quantization as well as quadratic creation and annihilation operators on the bosonic Fock space are defined through possibly infinite series. The domain of convergence is investigated by precise number operator estimates and the Banach-Steinhaus Theorem. Some fundamental proper...

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Bibliographic Details
Main Author Otte, Peter
Format Journal Article
LanguageEnglish
Published 17.03.2011
Subjects
Mathematics - Functional Analysis
Mathematics - Mathematical Physics
Physics - Mathematical Physics
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Summary:The functor of second quantization as well as quadratic creation and annihilation operators on the bosonic Fock space are defined through possibly infinite series. The domain of convergence is investigated by precise number operator estimates and the Banach-Steinhaus Theorem. Some fundamental properties of the limit operators are derived.
DOI:10.48550/arxiv.1103.3456