A general non-commutative limit theorem (Q2758442)

The authors show a limit theorem for a scaling limit over the number of particles of certain operators on the boson Fock space and conjecture a second, more complicated one. It remains obscure both in how far this is a central limit theorem and in how far this is a general limit theorem. (Neither inclusion of the classical central limit theorem nor of well-known noncommutative central limit theorems like that by Giri and von Waldenfels, Voiculescu, or Speicher and von Waldenfels is explained).