Estimates for eigenvalues of Schrödinger operators with complex-valued potentials
New estimates for eigenvalues of non-self-adjoint multi-dimensional Schrödinger operators are obtained in terms of $L_{p}$-norms of the potentials. The results extend and improve those obtained previously. In particular, diverse versions of an assertion conjectured by Laptev and Safronov are discuss...
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ftdatacite:10.48550/arxiv.1503.06337 2023-05-15T17:07:13+02:00 Estimates for eigenvalues of Schrödinger operators with complex-valued potentials Enblom, Alexandra 2015 https://dx.doi.org/10.48550/arxiv.1503.06337 https://arxiv.org/abs/1503.06337 unknown arXiv https://dx.doi.org/10.1007/s11005-015-0810-x arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Spectral Theory math.SP FOS Mathematics 47F05, 35P15, 81Q12 article-journal Article ScholarlyArticle Text 2015 ftdatacite https://doi.org/10.48550/arxiv.1503.06337 https://doi.org/10.1007/s11005-015-0810-x 2022-04-01T12:18:12Z New estimates for eigenvalues of non-self-adjoint multi-dimensional Schrödinger operators are obtained in terms of $L_{p}$-norms of the potentials. The results extend and improve those obtained previously. In particular, diverse versions of an assertion conjectured by Laptev and Safronov are discussed. Schrödinger operators with slowly decaying potentials are also considered. Text laptev DataCite Metadata Store (German National Library of Science and Technology) |
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DataCite Metadata Store (German National Library of Science and Technology) |
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topic |
Spectral Theory math.SP FOS Mathematics 47F05, 35P15, 81Q12 |
spellingShingle |
Spectral Theory math.SP FOS Mathematics 47F05, 35P15, 81Q12 Enblom, Alexandra Estimates for eigenvalues of Schrödinger operators with complex-valued potentials |
topic_facet |
Spectral Theory math.SP FOS Mathematics 47F05, 35P15, 81Q12 |
description |
New estimates for eigenvalues of non-self-adjoint multi-dimensional Schrödinger operators are obtained in terms of $L_{p}$-norms of the potentials. The results extend and improve those obtained previously. In particular, diverse versions of an assertion conjectured by Laptev and Safronov are discussed. Schrödinger operators with slowly decaying potentials are also considered. |
format |
Text |
author |
Enblom, Alexandra |
author_facet |
Enblom, Alexandra |
author_sort |
Enblom, Alexandra |
title |
Estimates for eigenvalues of Schrödinger operators with complex-valued potentials |
title_short |
Estimates for eigenvalues of Schrödinger operators with complex-valued potentials |
title_full |
Estimates for eigenvalues of Schrödinger operators with complex-valued potentials |
title_fullStr |
Estimates for eigenvalues of Schrödinger operators with complex-valued potentials |
title_full_unstemmed |
Estimates for eigenvalues of Schrödinger operators with complex-valued potentials |
title_sort |
estimates for eigenvalues of schrödinger operators with complex-valued potentials |
publisher |
arXiv |
publishDate |
2015 |
url |
https://dx.doi.org/10.48550/arxiv.1503.06337 https://arxiv.org/abs/1503.06337 |
genre |
laptev |
genre_facet |
laptev |
op_relation |
https://dx.doi.org/10.1007/s11005-015-0810-x |
op_rights |
arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
op_doi |
https://doi.org/10.48550/arxiv.1503.06337 https://doi.org/10.1007/s11005-015-0810-x |
_version_ |
1766062535527628800 |