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arXiv · 1102.0065

Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds

Alberto Carignano·Lorenzo Fatibene·Raymond G. McLenaghan·Giovanni Rastelli
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Abstract

A signature independent formalism is created and utilized to determine the general second-order symmetry operators for Dirac's equation on two-dimensional Lorentzian spin manifolds. The formalism is used to characterize the orthonormal frames and metrics that permit the solution of Dirac's equation by separation of variables in the case where a second-order symmetry operator underlies the separation. Separation of variables in complex variables on two-dimensional Minkowski space is also considered.

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Alberto Carignano, Lorenzo Fatibene, Raymond G. McLenaghan, Giovanni Rastelli. 2011-02-01. Symmetry Operators and Separation of Variables for Dirac's Equation on Two-Dimensional Spin Manifolds. https://doi.org/10.3842/sigma.2011.057

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