From classical to semiclassical non-trapping behaviour: a new proof - Archive ouverte HAL Access content directly
Journal Articles Comptes rendus hebdomadaires des séances de l’Académie des sciences. Série A, Sciences mathématiques Year : 2004

From classical to semiclassical non-trapping behaviour: a new proof

Thierry Jecko
  • Function : Author
  • PersonId : 828829

Abstract

For the semiclassical Schrödinger operator with smooth long-range potential, it is well known that the boundary values of the resolvent at non-trapping energies exist and are bounded by O(h^−1) (h being the semiclassical parameter). We present here a new proof of this result, which avoids the semiclassical Mourre theory and makes use of semiclassical measures.
Fichier principal
Vignette du fichier
details-non-capt-scal.pdf (168.45 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-03217334 , version 1 (04-05-2021)

Identifiers

  • HAL Id : hal-03217334 , version 1

Cite

Thierry Jecko. From classical to semiclassical non-trapping behaviour: a new proof. Comptes rendus hebdomadaires des séances de l’Académie des sciences. Série A, Sciences mathématiques, 2004. ⟨hal-03217334⟩
22 View
6 Download

Share

Gmail Facebook Twitter LinkedIn More