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On the spectrum of difference Schrödinger operator with a fractal potential

✍ Scribed by L. A. Malozemov


Publisher
Springer US
Year
1992
Tongue
English
Weight
215 KB
Volume
26
Category
Article
ISSN
0016-2663

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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