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 Click to show full abstract
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.
Keywords:
oscillator action;
condition minimal;
minimal harmonic;
harmonic oscillator;
action
Journal Title: American Journal of Physics
Year Published: 2017
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Journal Title: American Journal of Physics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!