2025/12/08 by Chaturvedi, Akshay, Ramadevi, Pichai
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Nonlinear Waves and Solitons #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems
paper · doi:10.48550/arxiv.2512.07700
openalex publication_date 2025/12/08 · openalex created_date 2025/12/10 · openalex updated_date 2026/07/28
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.