Journée-séminaire de combinatoire

(équipe CALIN du LIPN, université Paris-Nord, Villetaneuse)

Le 16 mars 2010 à 14h en B311, Pawel Blasiak nous parlera de : Graph Model of the Heisenberg-Weyl algebra

Résumé : The Heisenberg-Weyl algebra, underlying most physical realizations of Quantum Theory, is considered from a combinatorial point of view. We construct a concrete model of the algebra in terms of graphs which endowed with intuitive concepts of composition and decomposition provide a rich bi-algebra structure.
It will be shown how this encompass the Heisenberg-Weyl algebra, thereby providing a straightforward interpretation of the latter as a shadow of natural constructions on graphs. We will also discuss some combinatorial methods suitable for this graphical calculus.


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