The quadratic Fock functor

Details The quadratic Fock functor The quadratic Fock functor

2009-10-13

arxiv.org/abs/0910.2454v1

Mathematics

Functional Analysis

24

Scientific paper

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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