Determinantal point processes and fermionic Fock space

Details Determinantal point processes and fermionic Fock space Determinantal point processes and fermionic Fock space

2005-05-16

arxiv.org/abs/math-ph/0505041v1

Physics

Mathematical Physics

7pp

Scientific paper

We construct a canonical embedding of the space $L^2$ over a determinantal
point process to the fermionic Fock space. Equivalently, we show that a
determinantal process is the spectral measure for some explicit commutative
group of Gaussian operators in the fermionic Fock space.

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