Eigenvalue bounds for non-self-adjoint Schrödinger operators and pseudodifferential generalizations
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918505856630784 |
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| author | Stefanescu, Eduard |
| author_facet | Stefanescu, Eduard |
| contents | This is mostly a survey paper, where we collect results concerning the spectral bounds of deterministic and random Schrödinger operators with complex potentials, both on \(\mathbb{R}^d\) and on compact manifolds. The survey part is complemented by a new theorem, where we extend the result on spectral bounds on compact manifolds to the case of fractional Laplacians, applying methods by Cuenin and Sogge. These bounds are formulated in terms of the \(L^p\)-norms of the corresponding potentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_16569 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Eigenvalue bounds for non-self-adjoint Schrödinger operators and pseudodifferential generalizations Stefanescu, Eduard Spectral Theory Mathematical Physics 35P05, 47A10, 47A75, 35P15, 81Q10 This is mostly a survey paper, where we collect results concerning the spectral bounds of deterministic and random Schrödinger operators with complex potentials, both on \(\mathbb{R}^d\) and on compact manifolds. The survey part is complemented by a new theorem, where we extend the result on spectral bounds on compact manifolds to the case of fractional Laplacians, applying methods by Cuenin and Sogge. These bounds are formulated in terms of the \(L^p\)-norms of the corresponding potentials. |
| title | Eigenvalue bounds for non-self-adjoint Schrödinger operators and pseudodifferential generalizations |
| topic | Spectral Theory Mathematical Physics 35P05, 47A10, 47A75, 35P15, 81Q10 |
| url | https://arxiv.org/abs/2605.16569 |