On the existence of bound states of N-particle systems in one and two dimensions
โ Scribed by F.A.B. Coutinho; C.P. Malta; J. Fernando Perez
- Publisher
- Elsevier Science
- Year
- 1983
- Tongue
- English
- Weight
- 209 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We study the unique bound state which (-d2/dx2) + hV and -A + XV (in two dimensions) have when A is small and V is suitable. Our main results give necessary and sufficient conditions for there to be a bound state when h is small and we prove analyticity (resp. nonanalyticity) of the energy eigenvalu
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