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Principe d’absorption limite pour des opérateurs de Schrödinger à longue portée. (Limiting absorption principle for long range Schrödinger operators). (French) Zbl 0672.35013
Summary: We give a short proof of the semiclassical estimate for boundary values of resolvents of long range Schrödinger operators obtained by Robert and Tamura. Our proof is based on Mourre’s commutator method and on the construction of a global escape function for the associated classical flow.

MSC:
35J10 Schrödinger operator, Schrödinger equation
35B40 Asymptotic behavior of solutions to PDEs
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