Motion in a Gaussian Potential

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A mass moves according to the nonrelativistic Newtonian motion equation with in the central attractive Gaussian potential . The angular momentum is time independent and the motion occurs in the - plane. The depth of the potential at is (joule) and the spatial range (meter). The Demonstration computes and . The four integration constants are , , , . The parametric plot of and depends on eight parameters.

Contributed by: Franz Krafft (March 2011)
Open content licensed under CC BY-NC-SA


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