52 citations · 786 across the 59 of their papers we have counts for
Showing 2005 · math-phShow all
2 papers · 2 filters
math-ph2005★ 22 cited
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★ 46 cited
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…