Geometric adiabatic angle in anisotropic oscillators
Classical Physics
2025-11-21 v3
Abstract
We discuss a classical anisotropic oscillator and the Foucault pendulum as examples illustrating non-conservation of action variables in integrable classical mechanical systems with adiabatically slow evolution. We also emphasize the importance of the mass parameter of a harmonic oscillator, alongside its frequency, in explicitly time-dependent situations.
Cite
@article{arxiv.2506.00559,
title = {Geometric adiabatic angle in anisotropic oscillators},
author = {Fumika Suzuki and Nikolai A. Sinitsyn},
journal= {arXiv preprint arXiv:2506.00559},
year = {2025}
}
Comments
22 pages, 4 figures, to appear in American Journal of Physics