Mohammed Hichem Mortad
Explicit Formulae For The Wave Operators Of Perturbed Self-adjoint Operators
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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.