Problem 1ΒΆ
This question concerns the properties of the potential function found in the file Potential.txt.
a) Plot the potential given by the data
b) Find the equilibrium point(s) of the potential and show if they are stable or unstable
Note
You can use scipy.interpolate.interp1d to create a function which you can then solve using fsolve. Use the xtol parameter to specify a sensible value for the tolerance of the solution found by fsolve.
c) Find and plot the maximum energy of particle bound in this potential
d) Find and plot the allowed region for this bound particle