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Zbl 0747.60105
Meyer, P.A.
Elements of quantum probability. X: Approximation of the harmonic oscillator (according to L. Accardi and A. Bach). (Éléments de probabilités quantiques. X: Approximation de l'oscillateur harmonique (d'après L. Accardi et A. Bach).) (French)
[A] Séminaire de probabilités XXIII, Lect. Notes Math. 1372, 175-182 (1989).

[For the entire collection see Zbl 0722.00030.]\par [For part IX see Séminaire de probabilités XXII, Strasbourg/France, Lect. Notes Math. 1321, 101-123 (1988; Zbl 0659.60077).]\par The paper is devoted to a ``non commutative Moivre-Laplace theorem'' which demonstrates the intuitive idea of the approximation of the Fock space by ``baby Fock'' (i.e. by finite system of commuting spins).
[Sh.A.Ayupov (Tashkent)]

MSC 2000:: *60K40 Physical appl. of random processes
60K35 Interacting random processes
46L51 Noncommutative measure and integration
46L53 Noncommutative probability and statistics
46L54 Free probability and free operator algebras

Keywords: non commutative Moivre-Laplace theorem; Fock space; commuting spins

Citations: Zbl 0722.00030; Zbl 0659.60077

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