- #1

renegade05

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## Homework Statement

Determine the oscillation period, as a function of energy E, when a particle of mass m moves in a field with potential energy [itex]V(x)=-V_0/cosh^2(\alpha x)[/itex], for [itex]-V_0 < E < 0[/itex] with Vo positive.

(a) First show that, with s=sinh (α x) and determining the appropriate smax ,the period satisfies

[itex]T=\frac{2\sqrt{2m}}{\alpha\sqrt{E}}\int_{0}^{S_{max}}\frac{ds}{\sqrt{s^2}+\frac{E+U_o}{E}}[/itex]

## Homework Equations

Not sure where to start. My text-book is of no help when it comes to this question

## The Attempt at a Solution

I am not sure where to start...

Can someone help me with this one. thanks!