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Critical strength of attractive central potentials

par Brau, Fabian ;Lassaut, M.
Référence Journal of Physics A: Mathematical and General, 37, 46, page (11243-11257)
Publication Publié, 2004

Article révisé par les pairs

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Résumé :

We obtain several sequences of necessary and sufficient conditions for the existence of bound states applicable to attractive (purely negative) central potentials. These conditions yield several sequences of upper and lower limits on the critical value, gc (ℓ), of the coupling constant (strength), g, of the potential, V(r) = -gv(r), for which a first ℓ-wave bound state appears, which converges to the exact critical value.