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MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator

MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator

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 related as spectral problems in Krein spaces. For the alpha^2-dynamo and the PT-symmetric model the strong similarities are demonstrated with the help of a 2x2 operator …