35 citations · 370 across the 50 of their papers we have counts for
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math.FA2009★ 35 cited
Quantum Markov fields on graphs
Luigi Accardi, Hiromichi Ohno, Farrukh Mukhamedov
We introduce generalized quantum Markov states and generalized d-Markov chains which extend the notion quantum Markov chains on spin systems to that on -algebras defined by ge…
math.FA2009
On the quadratic Fock functor
Ameur Dhahri
We prove that the quadratic second quantization of an operator p on is an orthogonal projection on the quadratic Fock space if and o…
math.FA2009★ 12 cited
The quadratic Fock functor
Luigi Accardi, Ameur Dhahri
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 con…