Wavefunction phase variation

Now we can ask under what conditions a variational calculation involving arbitrary phase factors will yield the FON imaginary phase factor. For simplicity we only consider phase variations, thus keeping the spin-up and spin-down densities equal using the wavefunction... 

In general the bound (predissociated) potential curve is much better characterized experimentally than the repulsive (predissociating) curve. Predissociation linewidths and shifts are usually the best available experimental informal tion about the repulsive state. Indeed, as for bound bound interactions, the vibrational variation of the overlap factor is related to the relative locations of the nodes of the bound and continuum vibrational wavefunctions near Rq (the point of stationary phase of the product x jXe, j, which is where x jXe>,j oscillates most slowly). The Xv,J and Xe,j functions are solutions of the following nuclear Schrodinger equations expressed in atomic units ... 

---