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

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning

Standard

Improved sharp spectral inequalities for Schrödinger operators on the semi-axis. / Schimmer, Lukas.

I: arXiv, Bind arXiv:1912.13264, 2019.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning

Harvard

Schimmer, L 2019, 'Improved sharp spectral inequalities for Schrödinger operators on the semi-axis', arXiv, bind arXiv:1912.13264. <https://arxiv.org/abs/1912.13264>

APA

Schimmer, L. (2019). Improved sharp spectral inequalities for Schrödinger operators on the semi-axis. arXiv, arXiv:1912.13264. https://arxiv.org/abs/1912.13264

Vancouver

Schimmer L. Improved sharp spectral inequalities for Schrödinger operators on the semi-axis. arXiv. 2019;arXiv:1912.13264.

Author

Schimmer, Lukas. / Improved sharp spectral inequalities for Schrödinger operators on the semi-axis. I: arXiv. 2019 ; Bind arXiv:1912.13264.

Bibtex

@article{d69c7de518d34f44a7676fb50367143b,
title = "Improved sharp spectral inequalities for Schr{\"o}dinger operators on the semi-axis",
abstract = " We prove a Lieb–Thirring inequality for Schr{\"o}dinger 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. ",
keywords = "math.SP, math-ph, math.MP, 35P15, 34L40, 81Q10",
author = "Lukas Schimmer",
note = "10 pages",
year = "2019",
language = "English",
volume = "arXiv:1912.13264",
journal = "arXiv",
publisher = "arxiv.org",

}

RIS

TY - JOUR

T1 - Improved sharp spectral inequalities for Schrödinger operators on the semi-axis

AU - Schimmer, Lukas

N1 - 10 pages

PY - 2019

Y1 - 2019

N2 - 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.

AB - 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.

KW - math.SP

KW - math-ph

KW - math.MP

KW - 35P15, 34L40, 81Q10

M3 - Journal article

VL - arXiv:1912.13264

JO - arXiv

JF - arXiv

ER -

ID: 232821958