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Macroscopic current induced boundary conditions for Schrödinger-type operators

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Abstract

We describe an embedding of a quantum mechanically described structure into a macroscopic flow. The open quantum system is partly driven by an adjacent macroscopic flow acting on the boundary of the bounded spatial domain designated to quantum mechanics. This leads to an essentially non-selfadjoint Schrödinger-type operator, the spectral properties of which will be investigated.

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Authors and Affiliations

  1. Weierstra\-Institut für Angewandte Analysis und Stochastik, Mohrenstra\e 39, D-10117, Berlin, Germany

    Hans-Christoph Kaiser, Hagen Neidhardt & Joachim Rehberg

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  1. Hans-Christoph Kaiser
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  2. Hagen Neidhardt
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  3. Joachim Rehberg
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Dedicated to Konrad Gröger—teacher, colleague, friend—on the occasion of his 65th birthday.

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Kaiser, HC., Neidhardt, H. & Rehberg, J. Macroscopic current induced boundary conditions for Schrödinger-type operators. Integr equ oper theory 45, 39–63 (2003). https://doi.org/10.1007/BF02789593

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  • DOI: https://doi.org/10.1007/BF02789593

2000 Mathematics Subject Classification

2001 Physics and Astronomy Classification Scheme (PACS)

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