Particle on a Torus Knot: A Hamiltonian Analysis
Article Type
Research Article
Publication Title
Foundations of Physics
Abstract
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.
First Page
1649
Last Page
1665
DOI
10.1007/s10701-016-0035-6
Publication Date
12-1-2016
Recommended Citation
Das, Praloy and Ghosh, Subir, "Particle on a Torus Knot: A Hamiltonian Analysis" (2016). Journal Articles. 4372.
https://digitalcommons.isical.ac.in/journal-articles/4372