Bosons, Fermions and ??

[Kevin_spencer2]

I have heard in wikipedia (a joke?? ) that appart from Bosons and Fermions (types of particles) there were another kind of 'Probabilistic distribution' ???? i don't know how it was called but if we have the number of particles.

<n(T)>=\frac{1}{exp(\hbar \omega )-a}

a=1 for Bosons and -1 for Fermions, if other kind of particles exist, what would be their distribution?, thanx.

[StatMechGuy]

You might want to try looking into "anyons". Frank Wilczek coined the term for two dimensional field theories since the exclusion principle takes a different form in the reduced dimensions.

[Demystifier]

Try also with "generalized statistics".

[ZapperZ]

You might want to try looking into "anyons". Frank Wilczek coined the term for two dimensional field theories since the exclusion principle takes a different form in the reduced dimensions.

In addition, note that as with the fractional charge phenomenon, anyons are also an "emergent" excitation that came out of the renormalized many-body effect. In Wilczek's paper (http://arxiv.org/abs/cond-mat/0206122), several references were made to Schrieffer's work (this is the "S" in BCS theory of superconductivity). Condensed matter systems are the ones that can clearly exhibit these fractional phenomena.

Zz.