New Deformation of Para-Bose Statistics

Stjepan Meljanac, Marijan Mileković, Ante Perica

Stjepan Meljanac, Ante Perica

Generalized quons interpolating between Bose, Fermi, para-Bose, para-Fermi and anyonic statistics are proposed. They follow from the R-matrix approach to deformed associative algebras. It is proved that generalized quons have the same main properties as quons. A new result for the number operator is presented and some physical features of generalized quons are discussed in the limit [Formula: see text].

Harald Wergeland

Stjepan Meljanac, Marijan Mileković, Ante Perica

Using deformed Green’s oscillators and Green’s Ansatz,we construct a multiparameter interpolation between para-Bose and para-Fermi statistics of a given order.When the interpolating parameters qij satisfy |qij | < 1 (|qij | = 1),the interpolation statistics is ”infinite quon”-like ( anyon-like).The proposed interpolation does not contain states of negative norms. 0

Vito Barbarani

SICONG JING, CHARLES A. NELSON

Dirac's contour representation is extended to para-Bose and para-Fermi systems by use of deformed algebra techniques. In this analytic representation, the action of the para-particle annihilation operator is equivalent to a deformed differentiation which encodes the statistics of the paraparticle. In the para-Fermi case, the derivative's ket-domain is degree p polynomial.