Lippmann-Schwinger’s integral equation for quaternionic Dirac operators : Integral Representations for Solutions of Quaternionic Dirac-type equations

Bernstein, Swanhild

Maxwell's equations can be rewritten in terms of a Dirac operator D+a. The advantage is that in this setting Maxwell's equations are treated as a system of first order differential equations. To ensure the uniqueness of a non-homogeneous differential equation in the whole space additional conditions are needed.

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Bernstein, Swanhild: Lippmann-Schwinger’s integral equation for quaternionic Dirac operators : Integral Representations for Solutions of Quaternionic Dirac-type equations. 2004.

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