222 citations · 1.6k across the 87 of their papers we have counts for
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quant-ph2002
The Boson Normal Ordering Problem and Generalized Bell Numbers
P. Blasiak, K. A. Penson, A. I. Solomon
For any function F(x) having a Taylor expansion we solve the boson normal ordering problem for F[(a*)^r a^s], with r,s positive integers,[a,a*]=1, i.e. we provide exact and explici…
quant-ph2002★ 6 cited
Coherent State Measures and the Extended Dobinski relations
Karol A. Penson, Allan I. Solomon
Conventional Bell and Stirling numbers arise naturally in the normal ordering of simple monomials in boson operators. By extending this process we obtain generalizations of these c…
quant-ph2002
Combinatorics of Boson Normal Ordering: the Dobinski Formula Revisited
Karol A. Penson, Allan I. Solomon
We derive explicit formulas for the normal ordering of powers of arbitrary monomials of boson operators. These formulas lead to generalisations of conventional Bell and Stirling nu…