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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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