Combinatorial Physics, Normal Order and Model Feynman Graphs

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dc.creatorSolomon, A. I.
dc.creatorBlasiak, P.
dc.creatorDuchamp, G.
dc.creatorHorzela, A.
dc.creatorPenson, K. A.
dc.date2003-10-29
dc.date.accessioned2026-07-07T06:08:11Z
dc.date.available2026-07-07T06:08:11Z
dc.descriptionThe 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.
dc.description9 pages, 4 figures. 12 references. Presented at the Symposium 'Symmetries in Science XIII', Bregenz, Austria, 2003
dc.identifierhttps://arxiv.org/abs/quant-ph/0310174
dc.identifierhttp://arxiv.org/abs/quant-ph/0310174
dc.identifierSymmetries in Science Vol. XI,(Kluwer Academic Publishers), p. 527-536(2004)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/91543
dc.subjectQuantum Physics
dc.subjectCombinatorics
dc.titleCombinatorial Physics, Normal Order and Model Feynman Graphs
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