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

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

2006-08-15

arxiv.org/abs/quant-ph/0608125v1

Annales Mathematiques Blaise Pascal 11, 205-220 (2004)

Physics

Quantum Physics

16 pages

Scientific paper

In this work we consider non-relativistic quantum mechanics, obtained from a classical configuration space Q of indistinguishable particles. Following an approach proposed by one of the authors, wave functions are regarded as elements of suitable projective modules over C(Q). We take furthermore into account the G-Theory point of view, 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 aiming at a proof of a spin-statistics theorem for non-relativistic quantum mechanics are re-considered from the point of view of our approach, enabling us to clarify several points.

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