Sufficient conditions for the existence of bound states in a potential without spherical symmetry

✍ Scribed by K Chadan; Ch De Mol

• Publisher: Elsevier Science
• Year: 1980
• Tongue: English
• Weight: 662 KB
• Volume: 129
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1016/0003-4916(80)90396-6

✦ Synopsis

We give in this paper several sufficient 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. Paris 290 (1980), 151), and can ensure the existence of n bound states. For the spherically symmetric case, one gets simple formulae which are also new.