Geometric adiabatic angle in anisotropic oscillators

Fumika Suzuki; Nikolai A. Sinitsyn

doi:10.1119/5.0270675

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arXiv · 2506.00559

Geometric adiabatic angle in anisotropic oscillators

Fumika Suzuki·Nikolai A. Sinitsyn

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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.

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Fumika Suzuki, Nikolai A. Sinitsyn. 2025-05-31. Geometric adiabatic angle in anisotropic oscillators. https://doi.org/10.1119/5.0270675

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