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On the spectrum of Schrödinger operators with a finitely supported potential on the -regular tree

✍ Scribed by Kazunori Ando; Yusuke Higuchi


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
220 KB
Volume
431
Category
Article
ISSN
0024-3795

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✦ Synopsis


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 multiplicities. In addition we give some examples.


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