Title: Discrete Spectrum for a Periodic Schroedinger Operator Perturbed by a Decreasing Potential
Abstract: One studies a periodic Schroedinger operator in L2(ℝ) perturbed by a potential decreasing at infinity in the mean.Criteria of infinitude and finiteness of the discrete spectrum in gaps are given. Similar results for a semiinfinite gap of the perturbed periodic Schroedinger operator in L2(ℝn),n≥3, are obtained.
Publication Year: 1990
Publication Date: 1990-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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Cited By Count: 3
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