@article{BSMF_1996__124_3_477_0, author = {Grigis, Alain and Klopp, Fr\'ed\'eric}, title = {Valeurs propres et r\'esonances au voisinage d'un seuil}, journal = {Bulletin de la Soci\'et\'e Math\'ematique de France}, pages = {477--501}, publisher = {Soci\'et\'e math\'ematique de France}, volume = {124}, number = {3}, year = {1996}, doi = {10.24033/bsmf.2289}, mrnumber = {97g:35119}, zbl = {0879.35118}, language = {fr}, url = {http://archive.numdam.org/articles/10.24033/bsmf.2289/} }
TY - JOUR AU - Grigis, Alain AU - Klopp, Frédéric TI - Valeurs propres et résonances au voisinage d'un seuil JO - Bulletin de la Société Mathématique de France PY - 1996 SP - 477 EP - 501 VL - 124 IS - 3 PB - Société mathématique de France UR - http://archive.numdam.org/articles/10.24033/bsmf.2289/ DO - 10.24033/bsmf.2289 LA - fr ID - BSMF_1996__124_3_477_0 ER -
%0 Journal Article %A Grigis, Alain %A Klopp, Frédéric %T Valeurs propres et résonances au voisinage d'un seuil %J Bulletin de la Société Mathématique de France %D 1996 %P 477-501 %V 124 %N 3 %I Société mathématique de France %U http://archive.numdam.org/articles/10.24033/bsmf.2289/ %R 10.24033/bsmf.2289 %G fr %F BSMF_1996__124_3_477_0
Grigis, Alain; Klopp, Frédéric. Valeurs propres et résonances au voisinage d'un seuil. Bulletin de la Société Mathématique de France, Volume 124 (1996) no. 3, pp. 477-501. doi : 10.24033/bsmf.2289. http://archive.numdam.org/articles/10.24033/bsmf.2289/
[ADH] Eigenvalue branches of the Schrödinger operator H - ⋋W in a gap of σ(H), Comm. Math. Phys., t. 121, 1989, p. 291-321. | MR | Zbl
, and . -[Ba-Sk] Resonance theory of two-body Schrödinger operators, Ann. Inst. Henri Poincaré, sér. Phys. Théor., t. 51, 1989, p. 129-154. | Numdam | Zbl
and . -[Bi] On the discrete spectrum in the gaps for a perturbed periodic second-order operator, Funct. Anal. Appl., t. 25, 4, 1991, p. 158-161. | Zbl
. -[CFKS] Schrödinger operators. - Springer, Berlin Heidelberg New York, 1987.
, , and . -[Gé1] Resonance theory in atom surface scattering, Comm. Math. Phys., t. 126, 1989, p. 263-290. | MR | Zbl
. -[Gé2] Resonance theory for periodic Schrödinger operators, Bull. Soc. Math. France, t. 118, 1990, p. 27-54. | Numdam | MR | Zbl
. -[Ho] The Livsic matrix in perturbation theory, J. Math. Anal. Apppl., t. 50, 1975, p. 415-437. | MR | Zbl
. -[Kl] Resonances for perturbations of a semi-classical periodic Schrödinger operator, to appear in Arkiv. Math.. | Zbl
. -[Or] Quantum mechanical resonance and limiting absorption : the many-body case, Comm. Math. Phys., t. 126, 1990, p. 559-573. | MR | Zbl
. -[Rai] Eigenvalue asymptotics for the Schrödinger operator with perturbed periodic potential, Invent. Math., t. 110, 1992, p. 75-93. | MR | Zbl
. -[ReSi] Methods of modern mathematical physics, vol. IV : analysis of operators. - Academic Press, New York, 1978. | Zbl
and . -[Sob] Weyl asymptotics for the discrete spectrum of the perturbed Hill operator, Adv. Sov. Math., Providence RI, t. 7, 1991, p. 159-178. | MR | Zbl
. -Cited by Sources: