2004/09/22 by A. Horzela, Paweł Błasiak, P. Blasiak +9 · 1 citation
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Graph Labeling and Dimension Problems #Quantum Physics (quant-ph) #graph theory and CDMA systems #math.CO #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0409152
Presented at the XI International Conference on Symmetry Methods in Physics (SYMPHYS-11), Prague, Czech Republic, June 21-24, 2004. 17 pages, 36 references, 3 f
arxiv created 2004/09/22 · openalex publication_date 2004/09/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
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 - essentially an extension of the Taylor expansion - leads to a double exponential formula which enables a powerful graphical description of the generating functions of the combinatorial sequences associated with such functions - in essence, a combinatorial field theory. We apply these techniques to some examples related to specific physical Hamiltonians.