Blasiak, Pawel; Duchamp, Gerard H.E.; Solomon, Allan I.; Horzela, Andrzej and Penson, Karol A.
(2010).

PDF (Accepted Manuscript)
 Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader
Download (925Kb) 
URL:  http://www.intlpress.com/ATMP/ATMPissue_14_4.php 

Google Scholar:  Look up in Google Scholar 
Abstract
We describe an algebra G of diagrams that faithfully gives a diagrammatic representation of the structures of both the Heisenberg–Weyl algebra H – the associative algebra of the creation and annihilation operators of quantum mechanics – and U(LH), the enveloping algebra of the Heisenberg Lie algebra LH. We show explicitly how G may be endowed with the structure of a Hopf algebra, which is also mirrored in the structure of U(LH). While both H and U(LH) are images of G, the algebra G has a richer structure and therefore embodies a finer combinatorial realization of the creation–annihilation system, of which it provides a concrete model.
Item Type:  Journal Article 

Copyright Holders:  2011 International Press 
ISSN:  10950753 
Academic Unit/Department:  Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences Faculty of Science, Technology, Engineering and Mathematics (STEM) 
Item ID:  29285 
Depositing User:  Astrid Peterkin 
Date Deposited:  22 Aug 2011 10:26 
Last Modified:  09 Aug 2016 10:06 
URI:  http://oro.open.ac.uk/id/eprint/29285 
Share this page: 
Download history for this item
These details should be considered as only a guide to the number of downloads performed manually. Algorithmic methods have been applied in an attempt to remove automated downloads from the displayed statistics but no guarantee can be made as to the accuracy of the figures.