Multiparticle Quantum Mechanics Obeying Fractional Statistics

Yunfei Wu

Yong-Shi Wu

We obtain the rule governing many-body wave functions for particles obeying fractional statistics in two (space) dimensions. It generalizes and continuously interpolates the usual symmetrization and antisymmetrization. Quantum mechanics of more than two particles is discussed and some new features are found.

Daniel P. Arovas

Eric L. Michelsen

Stephen L. Adler

Abstract In the third section, we examine the implementation of statistical mechanical methods in quaternionic quantum mechanics. We define thermal averages and construct thermally averaged retarded and “temperature” Green’s functions, which obey the usual temporal boundary conditions, but which are no longer related to one another by analytic continuation in Fourier space.

Philip R. Wallace