Improved sharp spectral inequalities for Schrödinger operators on the semi-axis

We prove a Lieb–Thirring inequality for Schrödinger operators on the semi-axis with Robin boundary condition at the origin. The result improves on a bound obtained by P. Exner, A. Laptev and M. Usman [Commun. Math. Phys. 362(2), 531--541 (2014)]. The main difference in our proof is that we use the d...

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Bibliographic Details
Main Author: Schimmer, Lukas
Format: Article in Journal/Newspaper
Language:English
Published: 2019
Subjects:
math.SP
math-ph
math.MP
35P15
34L40
81Q10
laptev
Online Access:https://curis.ku.dk/portal/da/publications/improved-sharp-spectral-inequalities-for-schroedinger-operators-on-the-semiaxis(d69c7de5-18d3-4f44-a767-6fb50367143b).html
https://arxiv.org/abs/1912.13264
id ftcopenhagenunip:oai:pure.atira.dk:publications/d69c7de5-18d3-4f44-a767-6fb50367143b
record_format openpolar
spelling ftcopenhagenunip:oai:pure.atira.dk:publications/d69c7de5-18d3-4f44-a767-6fb50367143b 2023-05-15T17:07:15+02:00 Improved sharp spectral inequalities for Schrödinger operators on the semi-axis Schimmer, Lukas 2019 https://curis.ku.dk/portal/da/publications/improved-sharp-spectral-inequalities-for-schroedinger-operators-on-the-semiaxis(d69c7de5-18d3-4f44-a767-6fb50367143b).html https://arxiv.org/abs/1912.13264 eng eng info:eu-repo/semantics/restrictedAccess Schimmer , L 2019 , ' Improved sharp spectral inequalities for Schrödinger operators on the semi-axis ' , arXiv , vol. arXiv:1912.13264 . < https://arxiv.org/abs/1912.13264 > math.SP math-ph math.MP 35P15 34L40 81Q10 article 2019 ftcopenhagenunip 2021-09-23T18:25:34Z We prove a Lieb–Thirring inequality for Schrödinger operators on the semi-axis with Robin boundary condition at the origin. The result improves on a bound obtained by P. Exner, A. Laptev and M. Usman [Commun. Math. Phys. 362(2), 531--541 (2014)]. The main difference in our proof is that we use the double commutation method in place of the single commutation method. We also establish an improved inequality in the case of a Dirichlet boundary condition. Article in Journal/Newspaper laptev University of Copenhagen: Research
institution Open Polar
collection University of Copenhagen: Research
op_collection_id ftcopenhagenunip
language English
topic math.SP
math-ph
math.MP
35P15
34L40
81Q10
spellingShingle math.SP
math-ph
math.MP
35P15
34L40
81Q10
Schimmer, Lukas
Improved sharp spectral inequalities for Schrödinger operators on the semi-axis
topic_facet math.SP
math-ph
math.MP
35P15
34L40
81Q10
description We prove a Lieb–Thirring inequality for Schrödinger operators on the semi-axis with Robin boundary condition at the origin. The result improves on a bound obtained by P. Exner, A. Laptev and M. Usman [Commun. Math. Phys. 362(2), 531--541 (2014)]. The main difference in our proof is that we use the double commutation method in place of the single commutation method. We also establish an improved inequality in the case of a Dirichlet boundary condition.
format Article in Journal/Newspaper
author Schimmer, Lukas
author_facet Schimmer, Lukas
author_sort Schimmer, Lukas
title Improved sharp spectral inequalities for Schrödinger operators on the semi-axis
title_short Improved sharp spectral inequalities for Schrödinger operators on the semi-axis
title_full Improved sharp spectral inequalities for Schrödinger operators on the semi-axis
title_fullStr Improved sharp spectral inequalities for Schrödinger operators on the semi-axis
title_full_unstemmed Improved sharp spectral inequalities for Schrödinger operators on the semi-axis
title_sort improved sharp spectral inequalities for schrödinger operators on the semi-axis
publishDate 2019
url https://curis.ku.dk/portal/da/publications/improved-sharp-spectral-inequalities-for-schroedinger-operators-on-the-semiaxis(d69c7de5-18d3-4f44-a767-6fb50367143b).html
https://arxiv.org/abs/1912.13264
genre laptev
genre_facet laptev
op_source Schimmer , L 2019 , ' Improved sharp spectral inequalities for Schrödinger operators on the semi-axis ' , arXiv , vol. arXiv:1912.13264 . < https://arxiv.org/abs/1912.13264 >
op_rights info:eu-repo/semantics/restrictedAccess
_version_ 1766062602001055744

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