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The Floquet theory and the state density of quasi-periodic Schrödinger operators

✍ Scribed by Jingbo Xia


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
822 KB
Volume
86
Category
Article
ISSN
0022-0396

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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