Gentile Statistics Research Articles

Further aspects of an interpolative quantum statistics.

Further aspects of an interpolative quantum statistics are presented. It is shown, by imposing a positivity condition on the distribution function, that this statistics subsumes Gentile's intermediate statistics and is far richer than Gentile's statistics, apart from being a genuine quantum statistics.

A gentilionic approach to quark colours

An extended form of Noether's theorem enables us to identify the colour quantum number with the eigenvalue of the invariant of the algebra ofS(3). In the gentilionic approach, the composition of theS(3) colour with the symmetric quark model seems to constitute an exact symmetry of Nature. Some general properties and the universality of Gentile statistics are also argued.