- 02-476 Thierry JECKO
- From classical to semiclassical non-trapping behaviour: a new proof.
(136K, postscript)
Nov 21, 02
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Abstract. For the semiclassical Schr\"odinger 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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