Geodesic
Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities
Journal of the European Mathematical Society, Tome 12 (2010) no. 6, pp. 1347-1353

Voir la notice de l'article provenant de la source EMS Press

We show that phase space bounds on the eigenvalues of Schrödinger operators can be derived from universal bounds recently obtained by E. M. Harrell and the author via a monotonicity property with respect to coupling constants. In particular, we provide a new proof of sharp Lieb–Thirring inequalities.
DOI : 10.4171/jems/233
Classification : 81-XX, 35-XX, 00-XX
Keywords: Universal bounds for eigenvalues, spectral gap, phase space bounds, Lieb–Thirring inequalities, Schrödinger operators 
Joachim Stubbe. Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities. Journal of the European Mathematical Society, Tome 12 (2010) no. 6, pp. 1347-1353. doi: 10.4171/jems/233
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     title = {Universal monotonicity of eigenvalue moments and sharp {Lieb{\textendash}Thirring} inequalities},
     journal = {Journal of the European Mathematical Society},
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     year = {2010},
     volume = {12},
     number = {6},
     doi = {10.4171/jems/233},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/jems/233/}
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