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math-ph2005
New applications of pseudoanalytic function theory to the Dirac equation
Antonio Castaneda, Vladislav V. Kravchenko
In the present work we establish a simple relation between the Dirac equation with a scalar and an electromagnetic potentials in a two-dimensional case and a pair of decoupled Veku…
math-ph2005
On a relation of pseudoanalytic function theory to the two-dimensional stationary Schroedinger equation and Taylor series in formal powers for its solutions
Vladislav V. Kravchenko
We consider the real stationary two-dimensional Schroedinger equation. With the aid of any its particular solution we construct a Vekua equation possessing the following special pr…