Normal ordering and generalised Stirling numbers
- 1 February 1985
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 18 (2) , 231-235
- https://doi.org/10.1088/0305-4470/18/2/012
Abstract
The relation between some normal ordering forms for boson operator functions and generalised Stirling numbers is shown. In particular, the ordering of the operator function ak(ar+N+s)n is obtained for positive integers k, r, n and an arbitrary integer s. This is a generalisation of the recent result of Katriel (ibid., vol.16, p.4171-3, 1983). Some other normal ordering formulae are presented. It was shown how to obtain antinormal forms from several normal expansions given here.Keywords
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