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# Problem/CM-01002 Periodic Motion

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Question : For a particle moving in a potential well $$\displaystyle V(x) = -V_0\,\text{sech}^2(\alpha x),\qquad -V_0 < E < 0$$  find the time period as a function of energy of the particle.

Answer : $\displaystyle ({\pi\over \alpha})\sqrt{(2m/|E|)}$

cm-que-01002

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