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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Main Author: Enblom, Alexandra
Format: Text
Language:unknown
Published: arXiv 2015
Subjects:
Spectral Theory math.SP
FOS Mathematics
47F05, 35P15, 81Q12
laptev
Online Access:https://dx.doi.org/10.48550/arxiv.1503.06337
https://arxiv.org/abs/1503.06337
id ftdatacite:10.48550/arxiv.1503.06337
record_format openpolar
spelling 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)
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
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

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