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math-ph2005★ 19 cited
Third order spectral branch points in Krein space related setups: PT-symmetric matrix toy model, MHD alpha^2-dynamo, and extended Squire equation
Uwe Guenther, Frank Stefani
The spectra of self-adjoint operators in Krein spaces are known to possess real sectors as well as sectors of pair-wise complex conjugate eigenvalues. Transitions from one spectral…
math-ph2005★ 71 cited
MHD alpha^2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
Uwe Guenther, Frank Stefani, Miloslav Znojil
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 relate…
math-ph2004★ 13 cited
The MHD alpha^2-dynamo, Z_2-graded pseudo-Hermiticity, level crossings and exceptional points of branching type
U. Guenther, F. Stefani, G. Gerbeth
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 brief…