@article{AIHPA_1999__70_4_369_0,
author = {La Bret\`eche, R\'egis de},
title = {Preuve de la conjecture de Lieb-Thirring dans le cas des potentiels quadratiques strictement convexes},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {71},
year = {1999},
pages = {369-380},
mrnumber = {1686426},
zbl = {0938.35148},
language = {fr},
url = {http://dml.mathdoc.fr/item/AIHPA_1999__70_4_369_0}
}
La Bretèche, R. de. Preuve de la conjecture de Lieb-Thirring dans le cas des potentiels quadratiques strictement convexes. Annales de l'I.H.P. Physique théorique, Tome 71 (1999) pp. 369-380. http://gdmltest.u-ga.fr/item/AIHPA_1999__70_4_369_0/
[AL78] et , On semi-classical bounds for eigenvalues of Schrödinger Operators, Phys. Lett. 66A, 1978, 427-429. | MR 598768
[BS96] et , Bound States for Schrödinger Hamiltonians : Phase space methods and applications, Rev. in Math. Physics, vol. 8, n° 4, 1996, 503-548. | MR 1405763 | Zbl 0859.35101
[HP90] et , Riesz means of bound states and semi classical limit connected with a Lieb-Thirring's conjecture III, Prépublication de l'École Normale supérieure, 1990.
[HR83] et , Calcul fonctionnel par la transformée de Mellin et applications, J. Funct. Anal., 53, 1983, 246-268. | MR 724029 | Zbl 0524.35103
[HR90-1] et , Riesz means of bound states and semi classical limit connected with a Lieb-Thirring's conjecture I, Asymptotic Analysis, 3, 91-103, 1990. | MR 1061661 | Zbl 0717.35062
[HR90-2] et , Riesz means of bound states and semi classical limit connected with a Lieb-Thirring's conjecture II, Ann. Inst. Henri Poincaré, section Physique Théorique, 53 (2), 1990, 139-147. | Numdam | MR 1079775 | Zbl 0728.35078
[L97-1] , Dirichlet and Neumann eigenvalue problems on domains in euclidean spaces, J. Funct. Anal., 151, 1997. | MR 1491551 | Zbl 0892.35115
[L97-2] , On the Lieb-Thirring conjecture for a class of potentials, preprint 1997. | MR 1747896
[LT76] et , Inequalities for the moments of the eigenvalues of the Schrödinger equation and their relation to Sobolev inequalities, Studies in Math. Phys., (E. Lieb, B. Simon, A. Wightman Eds), Princeton Univ. Press, 1976, 269-303. | Zbl 0342.35044
[MU96] et , Spectral Analysis of Schrödinger operators with Magnetic Fields, J. Funct. Anal. , 140, n° 1, 218-255. | MR 1404582 | Zbl 0866.35083