MHD alpha(2)-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61389005%3A_____%2F05%3A00000920" target="_blank" >RIV/61389005:_____/05:00000920 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
MHD alpha(2)-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
Original language description
It is shown that the alpha(2)-dynamo of magnetohydrodynamics, the hydrodynamic Squire equation as well as an interpolation model of PT-symmetric quantum mechanics are closely related as spectral problems in Krein spaces. For the alpha(2)-dynamo and the PT-symmetric model the strong similarities are demonstrated with the help of a 2x2 operator matrix representation, whereas the Squire equation is reinterpreted as a rescaled and Wick-rotated PT-symmetric problem. Based on recent results on the Squire equation the spectrum of the PT-symmetric interpolation model is analyzed in detail and the Herbst limit is described as spectral singularity.
Czech name
MHD alfa 2 ? dynamo Squireova rovnice a PT-symetrická interpolace mezi pravoúhlou jámou a harmonickým oscilátorem
Czech description
Popsány matematické podobnosti fyzikálně různých modelů.

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
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Project
<a href="/en/project/IAA1048302" target="_blank" >IAA1048302: Quantum teory and pseudo-Hermitian Hamiltonians</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2005
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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