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On the spectrum of the Schrödinger operator with large potential concentrated on a small set

✍ Scribed by A. R. Bikmetov; R. R. Gadyl’shin


Publisher
SP MAIK Nauka/Interperiodica
Year
2006
Tongue
English
Weight
128 KB
Volume
79
Category
Article
ISSN
0001-4346

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📜 SIMILAR VOLUMES


On the spectrum of Schrödinger operators
✍ Kazunori Ando; Yusuke Higuchi 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 220 KB

We study the spectrum of Schrödinger operators with a uniform potential on the lth shell of the d-regular tree. As a result, we show the relationship between the spectral structure and the intensities of the potential. Furthermore we completely determine the discrete eigenvalues with their multiplic