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

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dc.creatorGuenther, Uwe
dc.creatorStefani, Frank
dc.creatorZnojil, Miloslav
dc.date2005-01-27
dc.date2005-03-21
dc.date.accessioned2026-07-07T04:31:51Z
dc.date.available2026-07-07T04:31:51Z
dc.descriptionIt 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 re-interpreted 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.
dc.description21 pages, LaTeX2e, 10 figures, minor improvements, references added, to appear in J. Math. Phys
dc.identifierhttps://arxiv.org/abs/math-ph/0501069
dc.identifierhttp://arxiv.org/abs/math-ph/0501069
dc.identifierJ.Math.Phys. 46 (2005) 063504
dc.identifierdoi:10.1063/1.1915293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57970
dc.subjectMathematical Physics
dc.subjectAstrophysics
dc.subjectQuantum Physics
dc.titleMHD alpha^2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
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