Absolute continuity of positive spectrum for Schrödinger operators with long-range potentials |
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Authors: | Richard Lavine |
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Institution: | Institute for Advanced Study, Princeton, New Jersey 08540 USA |
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Abstract: | Absolute continuity in (0, ∞) for Schrödinger operators ? Δ + V(x), with long range potential V = V1 + V2 such that , ? > 0, as , is shown by proving estimates on resolvents near the real axis. Completeness of the modified wave operators for a superposition of Coulomb potentials also follows. Singular local behavior of V is allowed. |
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