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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"Motion in a Gaussian Potential"
http://demonstrations.wolfram.com/MotionInAGaussianPotential/
Wolfram Demonstrations Project
Published: March 7 2011