Geometric adiabatic angle in anisotropic oscillators

Fuente: arXiv
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Main Authors: Suzuki, Fumika, Sinitsyn, Nikolai A.
Format: Preprint
Published: 2025
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author Suzuki, Fumika
Sinitsyn, Nikolai A.
author_facet Suzuki, Fumika
Sinitsyn, Nikolai A.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2506_00559
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Geometric adiabatic angle in anisotropic oscillators
Suzuki, Fumika
Sinitsyn, Nikolai A.
Classical Physics
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.
title Geometric adiabatic angle in anisotropic oscillators
topic Classical Physics
url https://arxiv.org/abs/2506.00559