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

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

2004-07-09

arxiv.org/abs/math-ph/0407015v3

Czech.J.Phys. 54 (2004) 1075-1089

Physics

Mathematical Physics

14 pages, 5 figures, Conf. Proc., 2nd International Workshop "Pseudo-Hermitian Hamiltonians in Quantum Physics", Prague, Czech

Scientific paper

10.1023/B:CJOP.0000044008.43362.

The 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.

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