MHD α2−dynamo, Squire equation and PT −symmetric interpolation between square well and harmonic oscillator
نویسندگان
چکیده
It is shown that the α−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 α−dynamo and the PT −symmetric model the strong similarities are demonstrated with the help of a 2 × 2 operator matrix representation, whereas the Squire equation is re-interpreted as a rescaled and Wick-rotated PT −symmetric problem. Based on recent results on the Squire equation the spectrum of the PT −symmetric interpolation model is analyzed in detail and the Herbst limit is described as spectral singularity.
منابع مشابه
setups: PT −symmetric matrix toy model, MHD α 2 −dynamo, and extended Squire equation ∗)
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