On the quadratic Fock functor

Ameur Dhahri

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arXiv · 0910.3350

On the quadratic Fock functor

Ameur Dhahri

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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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BibTeX RIS

Ameur Dhahri. 2013-11-25. On the quadratic Fock functor. https://arxiv.org/abs/0910.3350

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