[ ] Calculate the magnitude of integral of $\rho$ which was omitted due to the inaccuracy
[ ] Find the range where the magnitude of the state function is below the estimated minimum_valid_magnitude_of_state_func and overlay it on the last figure to check whether the momenum in the 'valid' range is really inside of the given, targetted error range
Several things should be done to implement #2.
TODO
minimum_valid_magnitude_of_state_funcand overlay it on the last figure to check whether the momenum in the 'valid' range is really inside of the given, targetted error range