The MHD alpha^2-dynamo, Z_2-graded pseudo-Hermiticity, level crossings and exceptional points of branching type

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dc.creatorGuenther, U.
dc.creatorStefani, F.
dc.creatorGerbeth, G.
dc.date2004-07-09
dc.date2004-10-06
dc.date.accessioned2026-07-07T04:31:19Z
dc.date.available2026-07-07T04:31:19Z
dc.descriptionThe spectral branching behavior of the 2x2 operator matrix of the magneto-hydrodynamic alpha^2-dynamo is analyzed numerically. Some qualitative aspects of level crossings are briefly discussed with the help of a simple toy model which is based on a Z_2-graded-pseudo-Hermitian 2x2 matrix. The considered issues comprise: the underlying SU(1,1) symmetry and the Krein space structure of the system, exceptional points of branching type and diabolic points, as well as the algebraic and geometric multiplicity of corresponding degenerate eigenvalues.
dc.description14 pages, 5 figures, Conf. Proc., 2nd International Workshop "Pseudo-Hermitian Hamiltonians in Quantum Physics", Prague, Czech Republic, June 14-16 2004; minor cosmetic improvements, Ref. added
dc.identifierhttps://arxiv.org/abs/math-ph/0407015
dc.identifierhttp://arxiv.org/abs/math-ph/0407015
dc.identifierCzech.J.Phys. 54 (2004) 1075-1089
dc.identifierdoi:10.1023/B:CJOP.0000044008.43362.71
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57768
dc.subjectMathematical Physics
dc.subjectAstrophysics
dc.subjectQuantum Physics
dc.titleThe MHD alpha^2-dynamo, Z_2-graded pseudo-Hermiticity, level crossings and exceptional points of branching type
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