On the dynamics of a particle on a cone
K. Kowalski, J. Rembieli\'nski
TL;DR
This paper investigates the classical and quantum behaviors of a particle constrained to a double cone, including cases where it is bound by a harmonic oscillator potential at the tip, providing insights into its dynamics.
Contribution
It offers a comprehensive analysis of particle dynamics on a double cone, combining classical and quantum perspectives with novel insights into the harmonic oscillator bound case.
Findings
Characterization of classical trajectories on a double cone
Quantum energy spectrum analysis for the particle
Effects of harmonic confinement at the cone tip
Abstract
A detailed study of the classical and quantum mechanics of a free particle on a double cone and the particle bounded to its tip by the harmonic oscillator potential is presented.
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