461 citations
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Showing 2002 · quant-phShow all
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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★ 157 cited
The Casimir force and the quantum theory of lossy optical cavities
Cyriaque Genet, Astrid Lambrecht, Serge Reynaud
We present a new derivation of the Casimir force between two parallel plane mirrors at zero temperature. The two mirrors and the cavity they enclose are treated as quantum optical…