Maxwell–Boltzmann Statistics And The Metaphysics Of Modality

Itamar Pitowsky, Noam Shoresh F

Alexander Bach

Alexander Bach

Indistinguishable quantum particles are called distributed according to quantum Maxwell-Boltzmann statistics if the statistical operator W is Maxwell-Boltzmann symmetric, i.e. if W is a homogeneous product state. It is shown that a state is both Maxwell-Boltzmann and Bose-Einstein symmetric if and only if it is a homogeneous product state of pure states.

Bruce Lowell Gordon

Herbert Dingle

S. Chaturvedi, Venkatraman Srinivasan

An interpolation between the canonical partition functions of Bose, Fermi and Maxwell-Boltzmann statistics is proposed. This interpolation makes use of the properties of Jack polynomials and leads to a physically appealing interpolation between the statistical weights of the three statistics. This, in turn, can be used to define a new exclusion statistics in the spirit of the work of Haldane.