Preuve de la conjecture de Lieb-Thirring dans le cas des potentiels quadratiques strictement convexes
La Bretèche, R. de
Annales de l'I.H.P. Physique théorique, Tome 71 (1999), p. 369-380 / Harvested from Numdam
@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] M. Aizenman et E. Lieb, On semi-classical bounds for eigenvalues of Schrödinger Operators, Phys. Lett. 66A, 1978, 427-429. | MR 598768

[BS96] Ph Blanchard et J. Stubbe, 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] B. Helffer et B. Parisse, 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] B. Helffer et D. Robert, Calcul fonctionnel par la transformée de Mellin et applications, J. Funct. Anal., 53, 1983, 246-268. | MR 724029 | Zbl 0524.35103

[HR90-1] B. Helffer et D. Robert, 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] B. Helffer et D. Robert, 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] A. Laptev, Dirichlet and Neumann eigenvalue problems on domains in euclidean spaces, J. Funct. Anal., 151, 1997. | MR 1491551 | Zbl 0892.35115

[L97-2] A. Laptev, On the Lieb-Thirring conjecture for a class of potentials, preprint 1997. | MR 1747896

[LT76] E.H. Lieb et W.E. Thirring, 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] H. Matsumoto et N. Ueki, Spectral Analysis of Schrödinger operators with Magnetic Fields, J. Funct. Anal. , 140, n° 1, 218-255. | MR 1404582 | Zbl 0866.35083