Graph model of the Heisenberg-Weyl algebra
Quantum Physics
2012-06-28 v2 Mathematical Physics
Combinatorics
math.MP
Abstract
We consider an algebraic formulation of Quantum Theory and develop a combinatorial model of the Heisenberg-Weyl algebra structure. It is shown that by lifting this structure to the richer algebra of graph operator calculus, we gain a simple interpretation involving, for example, the natural composition of graphs. This provides a deeper insight into the algebraic structure of Quantum Theory and sheds light on the intrinsic combinatorial underpinning of its abstract formalism.
Keywords
Cite
@article{arxiv.0710.0266,
title = {Graph model of the Heisenberg-Weyl algebra},
author = {P. Blasiak and A. Horzela and G. H. E. Duchamp and K. A. Penson and A. I. Solomon},
journal= {arXiv preprint arXiv:0710.0266},
year = {2012}
}
Comments
8 pages, 3 figures