One-parameter groups and combinatorial physics

Physics – Quantum Physics

Scientific paper

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15 pages, 23 references. Presented at the Third International Workshop on Contemporary Problems in Mathematical Physics (COPRO

Scientific paper

In this communication, we consider the normal ordering of sums of elements of
the form (a*^r a a*^s), where a* and a are boson creation and annihilation
operators. We discuss the integration of the associated one-parameter groups
and their combinatorial by-products. In particular, we show how these groups
can be realized as groups of substitutions with prefunctions.

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