(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find the one-dimensional particle motion in the trigonometric potential

U(x) = V tan^2(a x) , V > 0 .

Find the one-dimensional particle motion in the Morse potential

U(x) = A(1-e^-ax)^2.

2. Relevant equations

well at the moment in class our lecturer derived: T = sqrt(2m) integral(dx / sqrt[E - U(x)]) with limits x1 and x2, where the limits of integration are the limits of the motion (or turning points), given by v=0.

3. The attempt at a solution

Im unsure as always as to what the answer should even look like. Well i started with lagrangian

L = V-U , L = m/2 v^2 - Vtan^2(ax)

and got to d/dt(dL/dv) = dL/dx, but it didnt look right and how im unsure even how to approach the problem.

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# Homework Help: One-dimensional particle motion with potential X.

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