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arxiv: math-ph/0611036 · v1 · pith:V2UFJB7Nnew · submitted 2006-11-15 · 🧮 math-ph · astro-ph· math.MP· quant-ph

A globally diagonalizable alpha²-dynamo operator, SUSY QM and the Dirac equation

classification 🧮 math-ph astro-phmath.MPquant-ph
keywords dynamoalphadiracequationoperatorsusyclassclose
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A new class of semi-analytically solvable MHD alpha^2-dynamos is found based on a global diagonalization of the matrix part of the dynamo differential operator. Close parallels to SUSY QM are used to relate these models to the Dirac equation and to extract non-numerical information about the dynamo spectrum.

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