566 citations
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4 papers · 1 filter
A product formula and combinatorial field theory
A. Horzela, P. Blasiak, G. H. E. Duchamp +2
We treat the problem of normally ordering expressions involving the standard boson operators a, a* where [a,a*]=1. We show that a simple product formula for formal power series - e…
Partition functions and graphs: A combinatorial approach
Allan I. Solomon, Pawel Blasiak, Gerard Duchamp +2
Although symmetry methods and analysis are a necessary ingredient in every physicist's toolkit, rather less use has been made of combinatorial methods. One exception is in the real…
One-parameter groups and combinatorial physics
Gerard Duchamp, Karol A. Penson, Allan I. Solomon +2
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 i…
Combinatorial Physics, Normal Order and Model Feynman Graphs
A. I. Solomon, P. Blasiak, G. Duchamp +2
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 g…