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    Extremal paths

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    Consider the action for a particle in a potential U.
    a. Show that an extremal path is never that of a local maximum for the action. ("Local" means relative to nearby paths).
    b. Find an example in which an extremal path is that of a local minimum for the action.
    c. Find an example in which an extremal path is not that of a local minimum for the action.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:37 pm ad1c9bdddf
    https://brainmass.com/physics/scalar-and-vector-operations/extremal-paths-32862

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