Solomon, A.I.; Blasiak, P.; Duchamp, G.; Horzela, A. and Penson, K.A.
(2003).
*Symmetries in Science XIII*, 2003, Bregenz, Austria.

URL: | http://xxx.soton.ac.uk/abs/quant-ph/0310174 |
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Google Scholar: | Look up in Google Scholar |

## Abstract

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.

Item Type: | Conference Item |
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Academic Unit/Department: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences Faculty of Science, Technology, Engineering and Mathematics (STEM) |

Item ID: | 4888 |

Depositing User: | Users 6041 not found. |

Date Deposited: | 14 Jul 2006 |

Last Modified: | 02 Aug 2016 12:59 |

URI: | http://oro.open.ac.uk/id/eprint/4888 |

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