Emergence and Localization of Exceptional Points in an Exactly Solvable Toy Model

In contrast to classical physics, there are not too many mathematical tools facilitating the study of singularities in quantum systems. One of the exceptions is Kato’s notion of exceptional points (EPs). Their emergence and localization are analyzed here via a family of schematic toy models.

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Publication Details

Journal
Symmetry
Published
2025-10-02
DOI
https://doi.org/10.3390/sym17101630
Primary Topic
Quantum Mechanics and Non-Hermitian Physics
Type
article
Field-Weighted Citation Impact
0.00
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article

Emergence and Localization of Exceptional Points in an Exactly Solvable Toy Model

Miloslav Znojil
Symmetry
Quantum Mechanics and Non-Hermitian Physics
article

Emergence and Localization of Exceptional Points in an Exactly Solvable Toy Model

Miloslav Znojil
article en

Abstract

In contrast to classical physics, there are not too many mathematical tools facilitating the study of singularities in quantum systems. One of the exceptions is Kato’s notion of exceptional points (EPs). Their emergence and localization are analyzed here via a family of schematic toy models.

SymmetryVol. 17(10)
Durban University of Technology (ZA), Stellenbosch University (ZA), Czech Academy of Sciences, Nuclear Physics Institute (CZ), University of Hradec Králové (CZ)
Openalex Percentile: Top 78%
Quantum Mechanics and Non-Hermitian Physics
DOIOpen Access PDFOpenAlex
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