Classical Motion and Phase Space for a Morse Oscillator

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This Demonstration illustrates the classical anharmonic motion of a particle governed by the Hamiltonian , where
and
are the well depth (dissociation energy) and width, respectively. Here
and
are obtained by solving Hamilton's equations of motion, subject to the initial conditions
and
. The three panels animate synchronously: (1) the motion of the particle in the potential; (2) the phase space trajectory; and (3) the time series of
and
. In the upper two panels, the points with minimum (turning points) and maximum momentum are labeled with blue and green
's, respectively.
Contributed by: Porscha McRobbie and Eitan Geva (March 2011)
Open content licensed under CC BY-NC-SA
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"Classical Motion and Phase Space for a Morse Oscillator"
http://demonstrations.wolfram.com/ClassicalMotionAndPhaseSpaceForAMorseOscillator/
Wolfram Demonstrations Project
Published: March 7 2011