On the quadratic Fock functor

Abstract

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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References in corpus (1)

• Quadratic bosonic and free white noises