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arXiv · 0910.2454

The quadratic Fock functor

Luigi Accardi·Ameur Dhahri
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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.

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Luigi Accardi, Ameur Dhahri. 2013-11-25. The quadratic Fock functor. https://doi.org/10.1063/1.3294771

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