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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Main Author | |
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Format | Journal Article |
Language | English |
Published |
17.03.2011
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Subjects | |
Online Access | Get full text |
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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. |
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DOI: | 10.48550/arxiv.1103.3456 |