Combinatorial Solutions to Normal Ordering of Bosons

Details Combinatorial Solutions to Normal Ordering of Bosons Combinatorial Solutions to Normal Ordering of Bosons

2005-10-12

arxiv.org/abs/quant-ph/0510082v1

Czech. J. Phys. 55, 1335-1341 (2005)

Physics

Quantum Physics

Presented at 14th Int. Colloquium on Integrable Systems, Prague, Czech Republic, 16-18 June 2005. 6 pages, 11 references

Scientific paper

10.1007/s10582-006-0006-9

We present a combinatorial method of constructing solutions to the normal
ordering of boson operators. Generalizations of standard combinatorial notions
- the Stirling and Bell numbers, Bell polynomials and Dobinski relations - lead
to calculational tools which allow to find explicitly normally ordered forms
for a large class of operator functions.

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