Heisenberg-Weyl algebra revisited: Combinatorics of words and paths

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dc.creatorBlasiak, P.
dc.creatorHorzela, A.
dc.creatorDuchamp, G. H. E.
dc.creatorPenson, K. A.
dc.creatorSolomon, A. I.
dc.date2009-04-09
dc.date.accessioned2026-07-07T13:01:56Z
dc.date.available2026-07-07T13:01:56Z
dc.descriptionThe Heisenberg-Weyl algebra, which underlies virtually all physical representations of Quantum Theory, is considered from the combinatorial point of view. We provide a concrete model of the algebra in terms of paths on a lattice with some decomposition rules. We also discuss the rook problem on the associated Ferrers board; this is related to the calculus in the normally ordered basis. From this starting point we explore a combinatorial underpinning of the Heisenberg-Weyl algebra, which offers novel perspectives, methods and applications.
dc.description5 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0904.1506
dc.identifierhttp://arxiv.org/abs/0904.1506
dc.identifierJ. Phys. A: Math. Theor. 41, 415204 (2008)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226319
dc.subjectQuantum Physics
dc.titleHeisenberg-Weyl algebra revisited: Combinatorics of words and paths
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