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) Zbl 0747.60105

Meyer, P. A.

Séminaire de probabilités XXIII, Lect. Notes Math. 1372, 175-182 (1989).

[For the entire collection see Zbl 0722.00030.]
[For part IX see Séminaire de probabilités XXII, Strasbourg/France, Lect. Notes Math. 1321, 101-123 (1988; Zbl 0659.60077).]
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).

Reviewer: Sh.A.Ayupov (Tashkent)

MSC:

60K40	Other physical applications of random processes
60K35	Interacting random processes; statistical mechanics type models; percolation theory
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