Empirically, all known fundamental particles are either bosons or fermions. However, I understand that it is theoretically possible that there be other systems of indistinguishable particles -- and that these are known as paraparticles. Classical QM represents bosons by symmetric kets: kets that are unchanged under a permutation; and bosons by anti-symmetric kets: kets that are either mapped onto themselves or onto their negative by a permutation, depending on the parity of the permutation.(adsbygoogle = window.adsbygoogle || []).push({});

Does anybody roughly know the behaviour of kets for paraparticles under a permutation? For instance, for such a ket, would a permutation map a ket k to e^{i \theta} k? Or would permutations still always map a ket onto itself or its negative -- but which somehow depends on something more subtle than the parity of the permutation.

I've looked at http://en.wikipedia.org/wiki/Parastatistics, but it was a bit above me.

Thanks.

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# Paraparticles and Parastatistics

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