A mathematical treatment is presented of the known Berry, Wilczek-Zee, Aharonov-
Anandan, and Pancharatnam topological phases, and simple illustrative examples of their …

It is shown that fractional statistics on a torus are consistent only with multicomponent wave
functions. This is expected to be generally true for all 2D, closed, multiply connected …

The exact solution of the problem of two identical, charged anyons moving in a plane under
the influence of a static, uniform magnetic field perpendicular to that plane and of the …

The inequivalent quantizations of a system of n identical particles on a manifold M, dim M⩾
2, are in 1-1 correspondence with irreducible unitary representations of the braid group Bn …

Traditional anyons in two dimensions have generalized exchange statistics governed by the
braid group. By analyzing the topology of configuration space, we discover that an alternate …

The standard topological approach to indistinguishable particles formulates exchange
statistics by using the fundamental group to analyze the connectedness of the configuration …

It is customary, when discussing configuration spaces of identical particles in two or more
dimensions, to discard the configurations where two or more particles overlap, the …

We formulate a quantum phase space for molecular rotational and nuclear-spin states.
Taking in molecular geometry and nuclear-spin data, our framework yields admissible …

The problem of the availability of trajectories for the Feynman path integral is considered.
Forbidden trajectories for single-particle integrals are featured in the case of quantum …

We demonstrate an original development of path-integral quantization in the case of a
multiply connected configuration space of indistinguishable charged particles on a 2D …