Communications in Mathematical Physics

, Volume 211, Issue 3, pp 615–628 | Cite as

Quadratic Bosonic and Free White Noises

  • Piotr  Śniady


We discuss the meaning of renormalization used for deriving quadratic bosonic commutation relations introduced by Accardi [ALV] 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.


Stochastic Process White Noise Commutation Relation Bosonic Commutation Bosonic Commutation Relation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Piotr  Śniady
    • 1
  1. 1.Instytut Matematyczny, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, 50-384 Wroclaw, Poland.¶ E-mail: psnia@math.uni.wroc.plPL

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