Graph model of the Heisenberg–Weyl algebra

Blasiak, P.; Horzela, A.; Duchamp, G. H. E.; Penson, K. A. and Solomon, A. I. (2009). Graph model of the Heisenberg–Weyl algebra. Journal of Physics: Conference Series, 213 012014.

DOI (Digital Object Identifier) Link:	http://dx.doi.org/10.1088/1742-6596/213/1/012014
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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.

Item Type:	Journal Article
Copyright Holders:	2010 IOP Publishing
ISSN:	1742-6588
Academic Unit/Department:	Science > Physical Sciences
Item ID:	21366
Depositing User:	Astrid Peterkin
Date Deposited:	26 May 2010 14:39
Last Modified:	21 Jun 2014 01:11
URI:	http://oro.open.ac.uk/id/eprint/21366
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