We prove that the quadratic second quantization of an operator p on L-2(R-d) boolean AND L-infinity(R-d) is an orthogonal projection on the quadratic Fock space if and only if p is a multiplication operator by a characteristic function chi(I), I subset of R-d.

ON THE QUADRATIC FOCK FUNCTOR

AMEUR DHAHRI
2012-01-01

Abstract

We prove that the quadratic second quantization of an operator p on L-2(R-d) boolean AND L-infinity(R-d) is an orthogonal projection on the quadratic Fock space if and only if p is a multiplication operator by a characteristic function chi(I), I subset of R-d.
2012
Quadratic Fock functor
quadratic second quantization
orthogonal projection
interacting Fock space
multiplication operator
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1227686
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