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arXiv 2104.07475physics.class-ph
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最小谐振子Action的条件

Condition for minimal Harmonic Oscillator Action

Marco Moriconi

摘要:

本文给出了一维谐振子的物理轨迹作用量最小的一个初等证明,当且仅当$τ< π/ω$满足,其中$τ$是经过的时间,$ω$是谐振子的固有频率.

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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