Gerald Goldin
Anyonic quantum particle structures from representations of a universal kinematical group
Some interesting intermediate multiplicative phases in quantum-mechanical wave functions, associated with local rotations, arise from theoretically possible internal multipole structures of particles. Such “internal anyonic phases” are independent of the exchange statistics of the particle configurations. I will describe results in both two and three space dimensions. These new physical possibilities follow direclty from classifying the continuous unitary representations of a universal kinematical group for quantum mechanics. Results are in collaboration with Hongyi Shen at Rutgers University.
