Note on the spectrum of discrete Schrödinger operators
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概要
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The spectrum of discrete Schrödinger operator L + V on the d-dimensional lattice is considered, where L denotes the discrete Laplacian and V a delta function with mass at a single point. Eigenvalues of L + V are specified and the absence of singular continuous spectrum is proven. In particular it is shown that an embedded eigenvalue does appear for d ≥ 5 but does not for 1 ≤ d ≤ 4.
- Faculty of Mathematics, Kyushu Universityの論文
Faculty of Mathematics, Kyushu University | 論文
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