Lieb-Thirring inequalities with improved constants

By Jean Dolbeault, Ari Laptev, Michael Loss. 2007

76 citations recorded by the source corpus.

Following Eden and Foias we obtain a matrix version of a generalised Sobolev inequality in one-dimension. This allows us to improve on the known estimates of best constants in Lieb-Thirring inequalities for the sum of the negative eigenvalues for multi-dimensional Schrodinger operators

Subfields: Applied Mathematics, Mathematical Physics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/9983c4e3290a46dd8d59eaaf3f8109ebccab80f0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Robert Seiringer
2. Elliott H. Lieb
3. Rupert L. Frank
4. Michael Loss
5. William Beckner
6. Boumediene Abdellaoui
7. Luz Roncal
8. Bartłomiej Dyda

In Mathematical Physics

1. Robert Seiringer
2. Elliott H. Lieb
3. Rupert L. Frank
4. William Beckner
5. Luz Roncal
6. S. Thangavelu
7. Hongyu Ye
8. Michael Loss

In Mechanics of Materials

1. Robert Seiringer
2. Rupert L. Frank
3. William Beckner
4. Boumediene Abdellaoui

Citations in the corpus

• The Stability of Matter in Quantum Mechanics (2009, background): “[74] J. Fröhlich, E. H. Lieb, and M. Loss, Stability of Coulomb systems with magnetic fields I: The one-electron atom, Commun.”