Approximate substitutions and the normal ordering problem

H. Cheballah (1) , G. H. E. Duchamp (1) , K. A. Penson (2)

1 LIPN - Laboratoire d'Informatique de Paris-Nord
2 LPTMC - Laboratoire de Physique Théorique de la Matière Condensée

In this paper, we show that the infinite generalised Stirling matrices associated with boson strings with one annihilation operator are projective limits of approximate substitutions, the latter being characterised by a finite set of algebraic equations.

Mots clés: Bonson strings; infinite matrix; generalized Stirling number; projective limit

Domaines: Physique Quantique [quant-ph]; Calcul formel [cs.SC]; Combinatoire [math.CO]

H. Cheballah, G. H. E. Duchamp, K. A. Penson. Approximate substitutions and the normal ordering problem. 2008. ⟨hal-00249977⟩