Absolutely continuous spectrum for the Anderson model on a product of a tree with a finite graph
✍ Scribed by Richard Froese; Florina Halasan; David Hasler
- Book ID
- 113710168
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 275 KB
- Volume
- 262
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
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## Abstract We explicitely compute the absolutely continuous spectrum of the Laplace–Beltrami operator for __p__ ‐forms for the class of warped product metrics __dσ__ ^2^ = __y__ ^2__a__^ __dy__ ^2^ + __y__ ^2__b__^ __dθ__ ^2^, where __y__ is a boundary defining function on the unit ball __B__ (0,
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