For the semiclassical Schrödinger operator with smooth long-range potential, we prove in a new way, making use of semiclassical measures, that the boundary values of its resolvent at non-trapping energies are bounded by O(1/h), h being the semiclassical parameter.
Pour l'opérateur de Schrödinger semi-classique avec potentiel lisse à longue portée, on montre d'une manière nouvelle, au moyen de mesures semi-classiques, que les valeurs au bord de sa résolvante aux énergies non-captives sont de taille O(1/h), où h est le paramètre semi-classique.
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@article{CRMATH_2004__338_7_545_0, author = {Jecko, Thierry}, title = {From classical to semiclassical non-trapping behaviour}, journal = {Comptes Rendus. Math\'ematique}, pages = {545--548}, publisher = {Elsevier}, volume = {338}, number = {7}, year = {2004}, doi = {10.1016/j.crma.2004.01.022}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2004.01.022/} }
TY - JOUR AU - Jecko, Thierry TI - From classical to semiclassical non-trapping behaviour JO - Comptes Rendus. Mathématique PY - 2004 SP - 545 EP - 548 VL - 338 IS - 7 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2004.01.022/ DO - 10.1016/j.crma.2004.01.022 LA - en ID - CRMATH_2004__338_7_545_0 ER -
Jecko, Thierry. From classical to semiclassical non-trapping behaviour. Comptes Rendus. Mathématique, Volume 338 (2004) no. 7, pp. 545-548. doi : 10.1016/j.crma.2004.01.022. http://archive.numdam.org/articles/10.1016/j.crma.2004.01.022/
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