The MHD alpha2-dynamo, Z2-graded pseudo-Hermiticity, level crossings and exceptional points of branching type
U. Guenther, F. Stefani, G. Gerbeth
Abstract
The spectral branching behavior of the 2x2 operator matrix of the magneto-hydrodynamic alpha2-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 Z2-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.
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