Statistics and the Exclusion Principle

Zhang Yi-fang

The universality of the Pauli Exclusion Principle(PEP) is queried from various regions.Some known experiments and theories implied the violation of PEP at high energy.In fact,the ghost field,anyon and fractional statistics,etc.,correlated closely with possible violation of PEP and unified quantum statistics.Generally,various possibilities of violation of PEP are also discussed.

A. K. Rajagopal

张一方

The universality of the Pauli Exclusion Principle (PEP) is queried from various regions. Some known experiments and theories implied the violation of PEP at high energy. In fact, the ghost field, anyon and fractional statistics, etc., correlated closely with possible violation of PEP and unified quantum statistics. Generally, various possibilities of violation of PEP are also discussed.

Massimo Trovato, Lino Reggiani

Using the Wigner representation, compatibly with the uncertainty principle, we formulate a quantum maximum entropy principle for the fractional exclusion statistics. By considering anyonic systems satisfying fractional exclusion statistic, all the results available in the literature are generalized in terms of both the kind of statistics and a nonlocal description for excluson gases. Gradient quantum corrections are explicitly given at different levels of degeneracy and classical results are recovered when ℏ→0.