A globally diagonalizable alpha^2-dynamo operator, SUSY QM and the Dirac equation

Details A globally diagonalizable alpha^2-dynamo operator, SUSY QM and the Dirac equation A globally diagonalizable alpha^2-dynamo operator, SUSY QM and the Dirac equation

2006-11-15

arxiv.org/abs/math-ph/0611036v1

J.Phys.A40:F169,2007

Physics

Mathematical Physics

9 pages, 3 figures

Scientific paper

10.1088/1751-8113/40/5/F04

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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