Abstract
Loss and Thaller have shown that a quantum particle in a magnetic field with decay F ij (x) ∼ ∣x∣-1-μ, μ > 1/2 is an asymptotically complete short-range scattering system although the vector potential decays only like A(x) ∼∣x∣-μ. We include long-range electrostatic fields and simplify the proof of asymptotic completeness. The main tools are absorbing cells in phase space and a simpler intermediate time evolution.KeywordsPseudo Differential OperatorWave OperatorAsymptotic CompletenessQuantum ScatteringSchrodinger OperatorThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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