Deformed quantum statistics of quons Available to Purchase

Thermodynamical properties of a model quon gas are reported. The quons considered are the objects obeying the deformed commutator $aa†−qa†a=1$ with $−1⩽q⩽1.$ Although $q=1$ and $q=−1$ correspond respectively to boson and fermion statistics, it is not trivial to generate a quon gas which interpolates between the boson gas and the fermion gas without Pauli’s exclusion principle. The proposed model, interpolating between the two limits, can realize the Maxwell-Boltzmann limit at $q=0$ and simulate a free anyon gas. Under the restriction $−1⩽q⩽1,$ the gas is deformed but bosonic in nature. It shows the Bose-Einstein condensation even in two dimensions.