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
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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 
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     author = {Joachim Stubbe},
     title = {Universal monotonicity of eigenvalue moments and sharp {Lieb{\textendash}Thirring} inequalities},
     journal = {Journal of the European Mathematical Society},
     pages = {1347--1353},
     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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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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