117 citations · 289 across the 7 of their papers we have counts for
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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…
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…
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…
Isospectrality of spherical MHD dynamo operators: pseudo-Hermiticity and a no-go theorem
U. Guenther, F. Stefani
The isospectrality problem is studied for the operator of the spherical hydromagnetic alpha^2-dynamo. It is shown that this operator is formally pseudo-Hermitian (J-symmetric) and…