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Heisenberg-Weyl algebra revisited: Combinatorics of words and paths

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 نشر من قبل Pawel Blasiak Dr
 تاريخ النشر 2009
  مجال البحث فيزياء
والبحث باللغة English
 تأليف P. Blasiak




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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.



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