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

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).


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
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