2born (2born) wrote,

Элементарный примерчик из механики

Condition for minimal Harmonic Oscillator Action

Marco Moriconi
We provide an elementary proof that the action for the physical trajectory of the one-dimensional harmonic oscillator is guaranteed to be a minimum if and only if τ<π/ω, where τ is the elapsed time and ω is the oscillator's natural frequency.
Comments: 1+5 pages
Journal reference: Am. J. Phys. 85, 633 (2017)
Tags: Мегаучебник или Что я читал и похвалил, образование, разгребая arXiv'ы

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