08-29 Mohammed Hichem Mortad
Explicit Formulae For The Wave Operators Of Perturbed Self-adjoint Operators (1043K, PDF) Feb 15, 08
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Abstract. We give explicit formulae for the wave operators of the position operator $H_{0}$ and the operator $H$ obtained from $H_0$ by a rank one perturbation. Then by the spectral theorem, we deduce a general formula for wave operators of unbounded self-adjoint operators with absolute continuous spectrum.

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