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The spin-statistics relation in nonrelativistic quantum mechanics and projective modules

Nikolaos A. PapadopoulosMario PaschkeAndrés ReyesFlorian Scheck — 2004

Annales mathématiques Blaise Pascal

In this work we consider non-relativistic quantum mechanics, obtained from a classical configuration space 𝒬 of indistinguishable particles. Following an approach proposed in [], wave functions are regarded as elements of suitable projective modules over C ( 𝒬 ) . We take furthermore into account the G -Theory point of view (cf. [HPRS,S]) where the role of group action is particularly emphasized. As an example illustrating the method, the case of two particles is worked out in detail. Previous works (cf....

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