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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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Submitted on : Tuesday, May 4, 2021 - 5:46:18 PM
Last modification on : Friday, May 20, 2022 - 9:04:50 AM
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  • HAL Id : hal-03217334, version 1


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⟩



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