Properties of Particles Obeying Ambiguous Statistics

Details Properties of Particles Obeying Ambiguous Statistics Properties of Particles Obeying Ambiguous Statistics

1996-12-08

arxiv.org/abs/cond-mat/9612069v3

Phys.Rev.Lett.78:4147-4150,1997; Erratum-ibid.79:774,1997

Physics

Condensed Matter

Statistical Mechanics

4 pages, REVTeX, 22k, final version, last Eq. corrected. This and other papers may be found at http://sdphpd.ucsd.edu/~medvede

Scientific paper

10.1103/PhysRevLett.78.4147

A new class of identical particles which may exhibit both Bose and Fermi statistics with respective probabilities $p_b$ and $p_f$ is introduced. Such an uncertainity may be either an intrinsic property of a particle or can be viewed as an ``experimental uncertainity''. Statistical equivalence of such particles and particles obeying parastatistics of infinite order is shown. Generalized statistical distributions are derived and statistical and thermodynamical properties of an ideal gas of the particles are investigated. The physical nature of such particles and the implications of this investigation for the statistics of extremal black holes are discussed.

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