WIAS Preprint No. 650, (2001)

Macroscopic current induced boundary conditions for Schrödinger-type operators


  • Kaiser, Hans-Christoph
  • Neidhardt, Hagen
  • Rehberg, Joachim

2010 Mathematics Subject Classification

  • 35P10 47A55 47B44 81Q15

2008 Physics and Astronomy Classification Scheme

  • 03.65.Yz 03.65.Db


  • non-selfadjoint Schrödinger-type operator, spectral asymptotics, Abel basis of root vectors, dissipative operators, open quantum systems.


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.

Appeared in

  • Integral Equations and Operator Theory, 2003, 45, pp. 39-63

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