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Sufficient Conditions for the Existence of Bound States in a Potential without Spherical Symmetry

par Chadan, Khosrow;De Mol, Christine
Référence Annals of physics, 129, 2, page (466-478)
Publication Publié, 1980

Article révisé par les pairs

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Résumé :

We give in this paper several suffieient conditions for the existence of negative energy bound states in a purely attractive potential without spherical symmetry. These conditions generalize the condition obtained recently by K. Chadan and A. Martin (C. R. Acad. Sci. Paris290 (1980), 151), and can ensure the existence of n bound states. For the spherically symmetric case, one gets simple formulae which are also new.