学術雑誌論文 On the Number of Discrete Eigenvalues of a Discrete Schrödinger Operator with a Finitely Supported Potential

Hayashi, Yusuke  ,  Higuchi, Yusuke  ,  Nomura, Yuji  ,  Ogurisu, Osamu

106 ( 11 )  , pp.1465 - 1478 , 2016-11-01 , Springer Netherlands
ISSN:0377-9017
NII書誌ID(NCID):AA00716733
内容記述
On the d-dimensional lattice (Formula presented.) and the r-regular tree (Formula presented.), an exact expression for the number of discrete eigenvalues of a discrete Laplacian with a finitely supported potential is described in terms of the support and the intensities of the potential on each case. In particular, the number of eigenvalues less than the infimum of the essential spectrum is bounded by the number of negative intensities. © 2016 Springer Science+Business Media Dordrecht
Embargo Period 12 months
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