Weighted Mourre's commutator theory, application to Schrödinger operators with oscillating potential
Language
en
Article de revue
This item was published in
Journal of Operator Theory. 2013, vol. 1, p. J. Operator Theory 70 (2013), no. 1, 109-144
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English Abstract
We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption principle for Schrödinger operators with a perturbed Wigner-Von Neumann potential at suitable energies. To our knowledge, ...Read more >
We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption principle for Schrödinger operators with a perturbed Wigner-Von Neumann potential at suitable energies. To our knowledge, this result is new since we allow a long range pertubation of the Wigner-Von Neumann potential. Furthermore, we can show that the usual Mourre theory, based on differential inequalities and on the generator of dilations, cannot apply to our Schrödinger operators.Read less <
Origin
Hal imported