Weighted Mourre's commutator theory, application to Schrödinger operators with oscillating potential
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en
Article de revue
Este ítem está publicado en
Journal of Operator Theory. 2013, vol. 1, p. J. Operator Theory 70 (2013), no. 1, 109-144
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Resumen en inglés
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, ...Leer más >
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.< Leer menos
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