ON THE SELF-GENERATION OF ASYMPTOTIC BOUNDARY-CONDITIONS IN ENERGY QUANTIZATION

The calculation of bound and resonance energies and wavefunctions of t he Schrodinger equation requires the introduction of appropriate bound ary conditions in the asymptotic region. We determine under which cond itions these constraints can be spontaneously built up, in a step-by-s tep inward propagation of the wavefunction by means of the Fox-Goodwin method. These conditions also apply to the renormalized Numerov metho d of Johnson. This analysis gives a new insight into the role of compl ex rotation in resonance calculations.