Comparison golden section method

Another method based on function comparison is the golden section method. The golden section method was proposed before the Fibonacci method. The golden section also exploits the position of the point still inside the new interval of uncertainty, in a sequential search. 

Comparison methods such as Fibonacci s method and golden section search exploit function unimodality within a specific interval of uncertainty with the aim... 

For the sake of comparison with the ESCA spectrum of Nj, and to provide a more critical test of the EOM method, we calculate the peak intensities as well as the peak positions. The details of the intensity calculations are left to the Appendix. The dipole approximation is invoked, as the calculation is based on Fermi s golden rule. A plane wave approximation is employed for the outgoing electron. The cross section for the ejected electron is averaged over all possible molecular orientations and polarizations of the incident photon as described by Ellison. ... 

The beauty of this method is that it yields the actual proton wave function for each excited state. We can thus directly use Fermi s Golden Rule to predict the inelastic neutron scattering cross-section for comparison with experiment. 

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