Explicit formulae for the wave operators of perturbed self-adjoint operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:356

Article

Mortad, Mohammed Hichem

关键词: Wave operators;    Self-adjoint operators;   

DOI  :  10.1016/j.jmaa.2009.01.067

来源: Elsevier

【 摘 要 】

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. (c) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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