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Formalisme de Dirac et surprises mathematiques en mecanique quantique

F. Gieres
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Abstract

Differents formalismes sont utilises en mecanique quantique pour la description des etats et des observables : la mecanique ondulatoire, la mecanique matricielle et le formalisme invariant. Nous discutons les problemes et inconvenients du formalisme invariant ainsi que ceux de la notation des bras et kets introduite par Dirac dans ce contexte. Nous indiquons comment tous les problemes peuvent etre resolus ou du moins evites. Une serie d'exemples illustre les points souleves et montre comment l'insouciance mathematique peut aisement conduire a des contradictions mathematiques surprenantes.

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F. Gieres. 1999-07-22. Formalisme de Dirac et surprises mathematiques en mecanique quantique. https://arxiv.org/abs/quant-ph/9907070

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