Is There an Alternative to Anti-Commutation for Quantizing Fermions?

[kof9595995]

Prescription of QM tells you to us commutation relation and when quantizing fermions it's problematic, then we use anti-commutation relation instead. But can't there be some other relation besides anti-commutation that is also compatible with fermions?

 

[A. Neumaier]

Prescription of QM tells you to us commutation relation and when quantizing fermions it's problematic, then we use anti-commutation relation instead. But can't there be some other relation besides anti-commutation that is also compatible with fermions?

In 4 dimensions, no. This is provable, and called the spin-statistics theorem: http://en.wikipedia.org/wiki/Spin-statistics_theorem

 

[kof9595995]

Ok I'll try to have a look