Abstract
The seattering of nonrelativistic particles (either quantum mechanical or classical) by a magnetic field B is studied in any dimension ν ≥ 2. B( x) is allowed to decay like | x| −3.2 · δ (δ > 0), as | x| → ∞. Assumptions are made about the field strengths and not about the potentials. A gauge is constructed for which the unmodified wave operators exist and are complete even though the corresponding classical motion need not be asymptotically free. The result also holds for Yang-Mills fields.
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