On the quadratic Fock functor

Details On the quadratic Fock functor On the quadratic Fock functor

2009-10-18

arxiv.org/abs/0910.3350v1

Mathematics

Functional Analysis

12

Scientific paper

We prove that the quadratic second quantization of an operator p on
$L^2(\mathbb{R}^d)\cap L^\infty (\mathbb{R}^d)$ is an orthogonal projection on
the quadratic Fock space if and only if p =MI, where MI is a multiplication
operator by a characteristic function I.

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