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On the number of bound states for Schrödinger operators with operator-valued potentials

✍ Scribed by Dirk Hundertmark


Publisher
Springer Netherlands
Year
2002
Tongue
English
Weight
657 KB
Volume
40
Category
Article
ISSN
0004-2080

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📜 SIMILAR VOLUMES


On the bound state of Schrödinger operat
✍ M. Klaus 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 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