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Phase-equivalent energy-dependent potentials

par Sparenberg, Jean-Marc ;Baye, Daniel Jean ;Leeb, H.
Référence Physical Review C (Nuclear Physics)
Publication Publié, 2000

Article révisé par les pairs

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Résumé :

Supersymmetric transformations, i.e., factorizations of the radial Schrödinger equation, are generalized to potentials with a linear dependence on energy. These transformations are equivalent to generalized Darboux transformations and do not affect the energy dependence of the potential. A pair of transformations allows the removal of a bound state without modification of the phase shift. The method is applied to the removal of the forbidden bound states of a deep energy-dependent [Formula Presented] potential generating a phase-equivalent shallow potential with an [Formula Presented] repulsive core at the origin and the same energy dependence as the initial potential. © 2000 The American Physical Society.