Russian Journal of Mathematical Physics

, Volume 26, Issue 1, pp 94–108 | Cite as

Complete Wave Operators in Nonselfadjoint Kato Model of Smooth Perturbation Theory

  • S. A. StepinEmail author


In the present paper complete wave operators are constructed in the framework of nonselfadjoint Kato model for a wide class of not necessarily small relatively smooth perturbations. For one-dimensional Schröedinger operator with complex potential possessing finite first momentum a criterion of similarity to a selfadjoint operator is obtained which extends and supplements Kato sufficient condition.


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© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Faculty of Mechanics and MathematicsLomonosov Moscow State UniversityMoscowRussia

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