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• W1661207189 abstract "The Dirac equation with a scalar and an electromagnetic potentials is considered. In the time-harmonic case and when all the involved functions depend only on two spatial variables it reduces to a pair of decoupled bicomplex Vekua-type equations [8]. Using the technique developed for complex Vekua equations a system of exact solutions for the bicomplex equation is conctructed under additional conditions, in particular when the electromagnetic potential is absent and the scalar potential is a function of one Cartesian variable. Introducing a transmutation operator relating the involved bicomplex Vekua equation with the Cauchy-Riemann equation we prove the expansion and the Runge approximation theorems corresponding to the constructed family of solutions." @default.
• W1661207189 created "2016-06-24" @default.
• W1661207189 creator A5032465767 @default.
• W1661207189 creator A5086367676 @default.
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• W1661207189 date "2011-11-17" @default.
• W1661207189 modified "2023-09-27" @default.
• W1661207189 title "Complete families of solutions for the Dirac equation: an application of bicomplex pseudoanalytic function theory and transmutation operators" @default.
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• W1661207189 hasPublicationYear "2011" @default.
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