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Über die Existenz von Wellenoperatoren für zeitabhängige Störungen

On the existence of wave operators for time-dependent perturbations

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Abstract

This paper is concerned with the existence of evolution operatorsU (s, t) for Schrödinger equationsdf (t)/dt=−i H (t) f (t) with variable domainsD (H (t)) and the existence of wave operatorsW + forH (t):=−H 0+V(t). Applications to potential scattering permit also potentialsV(t) which are undamped with time.

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  1. Mathematisches Institut der Universität, Auf der Morgenstelle 10, D-7400, Tübingen, Deutschland

    Hermann Sohr

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  1. Hermann Sohr
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Sohr, H. Über die Existenz von Wellenoperatoren für zeitabhängige Störungen. Monatsh Math 86, 63–81 (1978). https://doi.org/10.1007/BF01300055

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  • DOI: https://doi.org/10.1007/BF01300055

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