The quadratic Fock functor
Functional Analysis
2013-11-26 v2 Probability
Abstract
We construct the quadratic analogue of the boson Fock functor. While in the first order case all contractions on the 1--particle space can be second quantized, the semigroup of contractions that admit a quadratic second quantization is much smaller due to the nonlinearity. Within this semigroup we characterize the unitary and the isometric elements.
Cite
@article{arxiv.0910.2454,
title = {The quadratic Fock functor},
author = {Luigi Accardi and Ameur Dhahri},
journal= {arXiv preprint arXiv:0910.2454},
year = {2013}
}
Comments
24