Lieb-Thirring estimates for non self-adjoint Schrödinger operators
For general non-symmetric operators $A$, we prove that the moment of order $\gamma \ge 1$ of negative real-parts of its eigenvalues is bounded by the moment of order $\gamma$ of negative eigenvalues of its symmetric part $H = \frac{1}{2} [A + A^*].$ As an application, we obtain Lieb-Thirring estimat...
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American Institute of Physics (AIP)
2008
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ftoskarbordeaux:oai:oskar-bordeaux.fr:20.500.12278/116612 2023-05-15T17:07:15+02:00 Lieb-Thirring estimates for non self-adjoint Schrödinger operators BRUNEAU, Vincent OUHABAZ, E.-M. 2008 https://oskar-bordeaux.fr/handle/20.500.12278/116612 https://doi.org/10.1063/1.2969028 en eng American Institute of Physics (AIP) 0022-2488 https://oskar-bordeaux.fr/handle/20.500.12278/116612 doi:10.1063/1.2969028 0806.1393 Mathématiques [math]/Théorie spectrale [math.SP] Mathématiques [math]/Physique mathématique [math-ph] Article de revue 2008 ftoskarbordeaux https://doi.org/10.1063/1.2969028 2021-10-26T22:30:24Z For general non-symmetric operators $A$, we prove that the moment of order $\gamma \ge 1$ of negative real-parts of its eigenvalues is bounded by the moment of order $\gamma$ of negative eigenvalues of its symmetric part $H = \frac{1}{2} [A + A^*].$ As an application, we obtain Lieb-Thirring estimates for non self-adjoint Schrödinger operators. In particular, we recover recent results by Frank, Laptev, Lieb and Seiringer \cite{FLLS}. We also discuss moment of resonances of Schrödinger self-adjoint operators. Other/Unknown Material laptev OSKAR Bordeaux (Open Science Knowledge ARchive) Journal of Mathematical Physics 49 9 093504 |
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Open Polar |
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OSKAR Bordeaux (Open Science Knowledge ARchive) |
op_collection_id |
ftoskarbordeaux |
language |
English |
topic |
Mathématiques [math]/Théorie spectrale [math.SP] Mathématiques [math]/Physique mathématique [math-ph] |
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Mathématiques [math]/Théorie spectrale [math.SP] Mathématiques [math]/Physique mathématique [math-ph] BRUNEAU, Vincent OUHABAZ, E.-M. Lieb-Thirring estimates for non self-adjoint Schrödinger operators |
topic_facet |
Mathématiques [math]/Théorie spectrale [math.SP] Mathématiques [math]/Physique mathématique [math-ph] |
description |
For general non-symmetric operators $A$, we prove that the moment of order $\gamma \ge 1$ of negative real-parts of its eigenvalues is bounded by the moment of order $\gamma$ of negative eigenvalues of its symmetric part $H = \frac{1}{2} [A + A^*].$ As an application, we obtain Lieb-Thirring estimates for non self-adjoint Schrödinger operators. In particular, we recover recent results by Frank, Laptev, Lieb and Seiringer \cite{FLLS}. We also discuss moment of resonances of Schrödinger self-adjoint operators. |
format |
Other/Unknown Material |
author |
BRUNEAU, Vincent OUHABAZ, E.-M. |
author_facet |
BRUNEAU, Vincent OUHABAZ, E.-M. |
author_sort |
BRUNEAU, Vincent |
title |
Lieb-Thirring estimates for non self-adjoint Schrödinger operators |
title_short |
Lieb-Thirring estimates for non self-adjoint Schrödinger operators |
title_full |
Lieb-Thirring estimates for non self-adjoint Schrödinger operators |
title_fullStr |
Lieb-Thirring estimates for non self-adjoint Schrödinger operators |
title_full_unstemmed |
Lieb-Thirring estimates for non self-adjoint Schrödinger operators |
title_sort |
lieb-thirring estimates for non self-adjoint schrödinger operators |
publisher |
American Institute of Physics (AIP) |
publishDate |
2008 |
url |
https://oskar-bordeaux.fr/handle/20.500.12278/116612 https://doi.org/10.1063/1.2969028 |
genre |
laptev |
genre_facet |
laptev |
op_relation |
0022-2488 https://oskar-bordeaux.fr/handle/20.500.12278/116612 doi:10.1063/1.2969028 0806.1393 |
op_doi |
https://doi.org/10.1063/1.2969028 |
container_title |
Journal of Mathematical Physics |
container_volume |
49 |
container_issue |
9 |
container_start_page |
093504 |
_version_ |
1766062602743447552 |