Geometric adiabatic angle in anisotropic oscillators

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.

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Publication Details

Journal
American Journal of Physics
Published
2025-11-20
DOI
https://doi.org/10.1119/5.0270675
Primary Topic
Chemical Reactions and Isotopes
Type
article
Field-Weighted Citation Impact
0.00

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article

Geometric adiabatic angle in anisotropic oscillators

Nikolai A. Sinitsyn, Fumika Suzuki
American Journal of Physics
Chemical Reactions and Isotopes
article

Geometric adiabatic angle in anisotropic oscillators

Nikolai A. Sinitsyn, Fumika Suzuki
article en

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.

American Journal of PhysicsVol. 93(12)
Los Alamos National Laboratory (US)
U.S. Department of Energy, Office of Science, Basic Energy Sciences, Advanced Scientific Computing Research, Laboratory Directed Research and Development, Los Alamos National Laboratory
Openalex Percentile: Top 79%
Chemical Reactions and Isotopes
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