Improved sharp spectral inequalities for Schrödinger operators on the semi-axis
Research output: Contribution to journal › Journal article › Research
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.
Original language | English |
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Journal | arXiv |
Volume | arXiv:1912.13264 |
Number of pages | 10 |
Publication status | Published - 2019 |
Bibliographical note
10 pages
- math.SP, math-ph, math.MP, 35P15, 34L40, 81Q10
Research areas
Links
- https://arxiv.org/abs/1912.13264
Submitted manuscript
ID: 232821958