Quadratic bosonic and free white noises
Sniady, Piotr
arXiv, 0303048 / Harvested from arXiv
We discuss the meaning of renormalization used for deriving quadratic bosonic commutation relations introduced by Accardi and find a representation of these relations on an interacting Fock space. Also, we investigate classical stochastic processes which can be constructed from noncommutative quadratic white noise. We postulate quadratic free white noise commutation relations and find their representation on an interacting Fock space.
Publié le : 2003-03-20
Classification:  Mathematical Physics,  Mathematics - Quantum Algebra,  81S25,  60H40,  81S05
@article{0303048,
     author = {Sniady, Piotr},
     title = {Quadratic bosonic and free white noises},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0303048}
}
Sniady, Piotr. Quadratic bosonic and free white noises. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0303048/