Aspects of anyons

Garth A. Baker, S. B. Mulay

Francesco Mancarella

Diptiman Sen

J. Gamboa

This article explains some aspects of quantum theory defined on multiply connected manifolds in the context of the path integral formulation and the applications that these ideas find in anyon physics in one and two dimensions. Examples that involve non‐trivial topological aspects, a formal definition of a multiply connected manifold, and path integrals on arbitrary manifolds are all discussed. (AIP)

Ijaz Durrani

Heidi Kjønsberg, Jon Magne Leinaas

We examine the anyon representation of the Laughlin quasiholes, in particular the one-dimensional, algebraic aspects of the representation. For the cases of one and two quasiholes an explicit mapping to anyon systems is given, and the connection between the hole-states and coherent states of the fundamental algebras of observables is examined. The quasielectron case is discussed more briefly, and some remaining questions are pointed out.