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Criterion for existence of a bound state in one dimension

✍ Scribed by Brownstein, K. R.


Book ID
111931257
Publisher
American Institute of Physics
Year
2000
Tongue
English
Weight
35 KB
Volume
68
Category
Article
ISSN
0002-9505

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On the bound state of SchrΓΆdinger operat
✍ M. Klaus πŸ“‚ Article πŸ“… 1977 πŸ› Elsevier Science 🌐 English βš– 723 KB

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