Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities

Stubbe, Joachim. "Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities." Journal of the European Mathematical Society 012.6 (2010): 1347-1353. <http://eudml.org/doc/277727>.

@article{Stubbe2010,
abstract = {We show that phase space bounds on the eigenvalues of Schr¨odinger 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.},
author = {Stubbe, Joachim},
journal = {Journal of the European Mathematical Society},
keywords = {universal bounds for eigenvalues; spectral gap; phase space bounds; Lieb–Thirring inequalities; Schrödinger operators; universal bounds for eigenvalues; spectral gap; phase space bounds; Lieb-Thirring inequalities; Schrödinger operators},
language = {eng},
number = {6},
pages = {1347-1353},
publisher = {European Mathematical Society Publishing House},
title = {Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities},
url = {http://eudml.org/doc/277727},
volume = {012},
year = {2010},
}

TY - JOUR
AU - Stubbe, Joachim
TI - Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities
JO - Journal of the European Mathematical Society
PY - 2010
PB - European Mathematical Society Publishing House
VL - 012
IS - 6
SP - 1347
EP - 1353
AB - We show that phase space bounds on the eigenvalues of Schr¨odinger 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.
LA - eng
KW - universal bounds for eigenvalues; spectral gap; phase space bounds; Lieb–Thirring inequalities; Schrödinger operators; universal bounds for eigenvalues; spectral gap; phase space bounds; Lieb-Thirring inequalities; Schrödinger operators
UR - http://eudml.org/doc/277727
ER -