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Singularities caused by coalesced complex eigenvalues of an effective Hamilton operator
Max-Planck-Institut für Physik Komplexer Systeme, D-01187 Dresden, Germany.
Linköping University, The Institute of Technology. Linköping University, Department of Physics, Chemistry and Biology.
2007 (English)In: International journal of theoretical physics, ISSN 0020-7748, Vol. 46, no 8, 1914-1928 p.Article in journal (Refereed) Published
Abstract [en]

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. © 2007 Springer Science+Business Media, LLC.

Place, publisher, year, edition, pages
2007. Vol. 46, no 8, 1914-1928 p.
Keyword [en]
Branch points, Complex eigenvalue, Effective Hamilton, Quantum dots
National Category
Engineering and Technology
URN: urn:nbn:se:liu:diva-49088DOI: 10.1007/s10773-006-9328-4OAI: diva2:269984
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2011-01-11

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Sadreev, Almas
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The Institute of TechnologyDepartment of Physics, Chemistry and Biology
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ReferencesLink to record
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