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Consider the one-dimensional potential
U(x)
=
- Wd²(x² + d²)
x4 + 8d4
Sketch the potential and discuss the motion at various values of x. Is the motion
bounded or unbounded? Where are the equilibrium values? Are they stable or
unstable? Find the turning points for E= -W/8. The value of Wis a positive
constant.

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