%0 Journal Article
%T Particle on a torus knot: a Hamiltonian analysis
%A Praloy Das
%A Subir Ghosh
%J Physics
%D 2015
%I arXiv
%X We have studied the dynamics and symmetries of a particle constrained to move in a torus knot. The Hamiltonian system turns out to be Second Class in Dirac's formulation and the Dirac brackets yield novel noncommutative structures. The equations of motion are obtained for a path in general where the knot is present in the particle orbit but it is not restricted to a particular torus. We also study the motion when it is restricted to a specific torus. The rotational symmetries are studied as well. We have also considered the behavior of small fluctuations of the particle motion about a fixed torus knot.
%U http://arxiv.org/abs/1508.06411v2