One-parameter groups and combinatorial physics

Duchamp, Gerard; Penson, Karol A.; Solomon, Allan I.; Horzela, Andrej and Blasiak, Pawel (2004). One-parameter groups and combinatorial physics. In: Third International Workshop on Contemporary Problems in Mathematical Physics (COPROMAPH3), Nov 2003, Porto-Novo, Benin.



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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