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Heiss WD. Repulsion of resonance states and exceptional points. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000;61(1):929-32doi: 10.1103/physreve.61.929.
Heiss, W. D. (2000). Repulsion of resonance states and exceptional points. Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 61(1), 929-32. https://doi.org/10.1103/physreve.61.929
Heiss. "Repulsion of resonance states and exceptional points." Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics vol. 61,1 (2000): 929-32. doi: https://doi.org/10.1103/physreve.61.929
Heiss WD. Repulsion of resonance states and exceptional points. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jan;61(1):929-32. doi: 10.1103/physreve.61.929. PMID: 11046343.
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Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Jan;61(1):929-32. doi: 10.1103/physreve.61.929.

Repulsion of resonance states and exceptional points.

Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics

Heiss

Affiliations

  1. Centre for Nonlinear Studies and Department of Physics, University of the Witwatersrand, P.O. Wits 2050, Johannesburg, South Africa.

PMID: 11046343 DOI: 10.1103/physreve.61.929

Abstract

Level repulsion is associated with exceptional points which are square root singularities of the energies as functions of a (complex) interaction parameter. This is also valid for resonance state energies. Using this concept it is argued that level anticrossing (crossing) must imply crossing (anticrossing) of the corresponding widths of the resonance states. Further, it is shown that an encircling of an exceptional point induces a phase change of one wave function but not of the other. An experimental setup is discussed where this phase behavior, which differs from the one encountered at a diabolic point, can be observed.

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