77 citations · 123 across the 9 of their papers we have counts for
3 papers · 2 filters
Deformed Bosons: Combinatorics of Normal Ordering
P. Blasiak, A. Horzela, K. A. Penson +1
We solve the normal ordering problem for (A* A)^n where A* (resp. A) are one mode deformed bosonic creation (resp. annihilation) operators satisfying [A,A*]=[N+1]-[N]. The solution…
A product formula and combinatorial field theory
A. Horzela, P. Blasiak, G. H. E. Duchamp +2
We treat the problem of normally ordering expressions involving the standard boson operators a, a* where [a,a*]=1. We show that a simple product formula for formal power series - e…
The general boson normal ordering problem
Pawel Blasiak, Karol A. Penson, Allan I. Solomon
We solve the boson normal ordering problem for F[(a*)^r a^s], with r,s positive integers, where a* and a are boson creation and annihilation operators satisfying [a,a*]=1. That is,…