Browsing by Author "Penson, K.A."

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Heisenberg–Weyl algebra revisited: Combinatorics of words and paths
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2009) Blasiak, Pawel; Duchamp, G.H.E.; Horzela, Andrzej; Penson, K.A.; Solomon, A.I.
    The 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.