Resonance scattering and singularities of the scattering function |
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| Authors: | W D Heiss and R G Nazmitdinov |
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| Institution: | 1.National Institute for Theoretical Physics,
Stellenbosch Institute for Advanced Study, and Institute of Theoretical Physics,
University of Stellenbosch,Matieland,South Africa;2.Department de Física,Universitat de les Illes Balears,Palma de Mallorca,Spain;3.Bogoliubov Laboratory of Theoretical Physics,
Joint Institute for Nuclear Research,Dubna,Russia |
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| Abstract: | Recent studies of transport phenomena with complex potentials
are explained by generic square root singularities of spectrum and eigenfunctions of
non-Hermitian Hamiltonians. Using a two channel problem we
demonstrate that such singularities produce a significant effect upon
the pole behaviour of the scattering matrix, and more significantly upon the
associated residues. This mechanism explains why by proper choice
of the system parameters the resonance cross section is increased drastically
in one channel and suppressed in the other channel. |
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