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

We prove a Lieb–Thirring inequality for Schrödinger operators [mathematical formula - see PDF] 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 (2014), 531–541] albeit under the additio...

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Bibliographic Details
Main Author: Lukas Schimmer
Format: Default Article
Published: 2023
Subjects:
Pure mathematics
Schrödinger operator
Lieb–Thirring inequality
Robin boundary condition
commutation method
Online Access:https://hdl.handle.net/2134/23920872.v1
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