# Particle in a Changing Potential

A particle of mass m is in the ground state of a potential described by V(x) = 1/2mw^2x^2 when the equilibrium point of the potential is suddenly changed from x = 0 to x = s. Show that the probability that after this change the particle will be in the first excited state of the new potential is given by

(please see the attached file for proper formatting and all of the equations)

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The solution examines a particle in a changing potential field to find the equilibrium point.

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