Constrained Dynamics on an Ellipse
High Energy Physics - Theory
2025-12-09 v1
Abstract
We first review the application of Dirac's method to the dynamics of a classical particle constrained to a circle and its subsequent quantization. Then, we extend the analysis to a particle constrained to move on an ellipse. Particularly, we identify the corresponding Dirac brackets and determine the quantum operators associated with the fundamental dynamical variables.
Cite
@article{arxiv.2512.07700,
title = {Constrained Dynamics on an Ellipse},
author = {Akshay Chaturvedi and Pichai Ramadevi},
journal= {arXiv preprint arXiv:2512.07700},
year = {2025}
}