Thursday, June 28, 2012

0710.0266 (P. Blasiak et al.)

Graph model of the Heisenberg-Weyl algebra    [PDF]

P. Blasiak, A. Horzela, G. H. E. Duchamp, K. A. Penson, A. I. Solomon
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.
View original: http://arxiv.org/abs/0710.0266

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