Page "Anyon" Paragraph 6

with i being the imaginary unit and θ a real number.

Recall that and as well as.

So in the case we recover the Fermi – Dirac statistics ( minus sign ) and in the case θ = 0 ( or ) the Bose – Einstein statistics ( plus sign ).

In between we have something different.

Frank Wilczek coined the term " anyon " to describe such particles, since they can have any phase when particles are interchanged.