caa a22 4500 463197208 CHVBK 20180406164926.0 cr unu---uuuuu 170326e20070801xx s 000 0 eng 10.1007/s10773-006-9328-4 doi (NATIONALLICENCE)springer-10.1007/s10773-006-9328-4 Singularities Caused by Coalesced Complex Eigenvalues of an Effective Hamilton Operator [Elektronische Daten] [I Rotter, A. Sadreev] The S matrix theory with use of the effective Hamiltonian is sketched and applied to the description of the transmission through double quantum dots. The effective Hamilton operator is non-hermitian, its eigenvalues are complex, the eigenfunctions are bi-orthogonal. In this theory, singularities occur at points where two (or more) eigenvalues of the effective Hamiltonian coalesce. These points are physically meaningful: they separate the scenario of avoided level crossings from that without any crossings in the complex plane. They are branch points in the complex plane. Their geometrical features are different from those of the diabolic points. Springer Science+Business Media, LLC, 2007 effective Hamilton nationallicence complex eigenvalue nationallicence quantum dots nationallicence branch points nationallicence Rotter I. Max-Planck-Institut für Physik komplexer Systeme, D-01187, Dresden, Germany aut Sadreev A. Kirensky Institute of Physics, 660036, Krasnoyarsk, Russia aut International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/8(2007-08-01), 1914-1928 0020-7748 46:8<1914 2007 46 10773 https://doi.org/10.1007/s10773-006-9328-4 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10773-006-9328-4 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rotter I. Max-Planck-Institut für Physik komplexer Systeme, D-01187, Dresden, Germany aut NATIONALLICENCE 700 1- Sadreev A. Kirensky Institute of Physics, 660036, Krasnoyarsk, Russia aut NATIONALLICENCE 773 0- International Journal of Theoretical Physics Springer US; http://www.springer-ny.com 46/8(2007-08-01), 1914-1928 0020-7748 46:8<1914 2007 46 10773 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer