Conditions for the existence of bound states of a Dirac particle in one dimension
β Scribed by F.A.B. Coutinho; Y. Nogami
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 280 KB
- Volume
- 124
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
Under certain conditions on the potential a one-dimensional Schradinger operator has a unique bound state in the limit of weak coupling while under other conditions no bound state is present in this limit. This question is investigated for potentials obeying s (1 + ] x I) I V(x)1 dx < ~0. An asympto