Convergence of Infinite Series in Bosonic Second Quantization

Details Convergence of Infinite Series in Bosonic Second Quantization Convergence of Infinite Series in Bosonic Second Quantization

2011-03-17

arxiv.org/abs/1103.3456v1

Physics

Mathematical Physics

15 pages

Scientific paper

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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