Effective non-Hermitian Hamiltonian and many-body physics

Vladimir Zelevinsky

Michigan State University, National Superconducting Cyclotron Laboratory, Department of Physics and Astronomy, East Lansing, USA

The effective non-Hermitian Hamiltonian can be rigorously derived by the projection method. It turns out to be a powerful tool for analyzing the properties of open and marginally stable many-body systems like exotic nuclei, autoionizing states in atoms, quantum signal transmission through nanostructures etc. I discuss emergence of super-radiance and trapping, statistics of resonances, correlations and fluctuations of cross sections etc.

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