Is it really a mathematical theorem or more like a "spin-statistics postulate"?(adsbygoogle = window.adsbygoogle || []).push({});

I checked the apparent proof in http://en.wikipedia.org/wiki/Spin-statistics_theorem but didn't get very convinced. If two electrons have some arbitrary spatial wave functions, you cannot switch them by rotation in general.

To me it seems, that if one quantisizes a two component complex Klein-Gordon field [itex]\phi\in\mathbb{C}^2[/itex], with appropriately postulated transformations with sigma matrices, one gets a theory of spin-1/2 particles that obey bose-statistics.

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# Spin-statistics theorem

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