particle statistics

Noun

 * 1)  Any of certain theories, in classical physics or (particularly) quantum mechanics, that model the behaviour of collections of particles of identical type.
 * 2) * 1990, Jurg Frohlich, Quantum Statistics and Locality, D. G. Caldi, George D. Mostow (editors), Proceedings of the Gibbs Symposium: Yale University, May 15-17, 1989,, , page 93,
 * A choice of particle statistics in quantum mechanics is equivalent to choosing representations Un, of π1(Mn), for all n, in the quantization procedure described in §1.2; see (1.3).
 * Thus, for a system of point particles in d > 3 dimensional, physical space, particle statistics is described by the symmetry character of wave functions under permutations of particle positions.
 * A choice of particle statistics in quantum mechanics is equivalent to choosing representations Un, of π1(Mn), for all n, in the quantization procedure described in §1.2; see (1.3).
 * Thus, for a system of point particles in d > 3 dimensional, physical space, particle statistics is described by the symmetry character of wave functions under permutations of particle positions.