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araven7
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Homework Statement
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.
Homework 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.
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 I am unsure even how to approach the problem.