Eigenvalue bounds for Schrödinger operators with complex potentials. II
Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator $-Δ+V$ in $L^2(\mathbb R^ν)$ with complex potential has absolute value at most a constant times $\|V\|_{γ+ν/2}^{(γ+ν/2)/γ}$ for $0 : 20 pages; references added
| Main Authors: | , |
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| Format: | Report |
| Language: | unknown |
| Published: |
arXiv
2015
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| Subjects: | |
| Online Access: | https://dx.doi.org/10.48550/arxiv.1504.01144 https://arxiv.org/abs/1504.01144 |
| Summary: | Laptev and Safronov conjectured that any non-positive eigenvalue of a Schrödinger operator $-Δ+V$ in $L^2(\mathbb R^ν)$ with complex potential has absolute value at most a constant times $\|V\|_{γ+ν/2}^{(γ+ν/2)/γ}$ for $0 : 20 pages; references added |
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