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.
|Dernière modification : mercredi 06 juillet 2011||Contact : Cyril.Banderier at lipn.univ-paris13.fr|