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

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.
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https://hal-cnrs.archives-ouvertes.fr/hal-03217334
Contributor : Thierry Jecko <>
Submitted on : Tuesday, May 4, 2021 - 5:46:18 PM
Last modification on : Friday, May 7, 2021 - 3:09:43 AM
Long-term archiving on: : Thursday, August 5, 2021 - 8:05:33 PM

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  • HAL Id : hal-03217334, version 1

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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, Elsevier, 2004. ⟨hal-03217334⟩

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