6 citations · 8 across the 7 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
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…
quant-ph2002★ 6 cited
Dissipative "Groups" and the Bloch Ball
Allan I. Solomon, Sonia G. Schirmer
We show that a quantum control procedure on a two-level system including dissipation gives rise to a semi-group corresponding to the Lie algebra semi-direct sum gl(3,R)+R^3. The ph…