Physics – Quantum Physics
Scientific paper
2003-10-29
Symmetries in Science Vol. XI,(Kluwer Academic Publishers), p. 527-536(2004)
Physics
Quantum Physics
9 pages, 4 figures. 12 references. Presented at the Symposium 'Symmetries in Science XIII', Bregenz, Austria, 2003
Scientific paper
The general normal ordering problem for boson strings is a combinatorial problem. In this note we restrict ourselves to single-mode boson monomials. This problem leads to elegant generalisations of well-known combinatorial numbers, such as Bell and Stirling numbers. We explicitly give the generating functions for some classes of these numbers. Finally we show that a graphical representation of these combinatorial numbers leads to sets of model field theories, for which the graphs may be interpreted as Feynman diagrams corresponding to the bosons of the theory. The generating functions are the generators of the classes of Feynman diagrams.
Blasiak Pawel
Duchamp Gérard
Horzela Andrej
Penson Karol A.
Solomon Allan I.
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