3 citations · 4 across the 3 of their papers we have counts for
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On a general solution of the one-dimensional stationary Schrodinger equation
Vladislav V. Kravchenko
The general solution of the one-dimensional stationary Schroedinger equation in the form of a formal power series is considered. Its efficiency for numerical analysis of initial va…
On Beltrami fields with nonconstant proportionality factor on the plane
Vladislav V. Kravchenko, Hector Oviedo
We consider the equation rotB+aB=0 (1) in the plane with a being a real-valued function and show that it can be reduced to a Vekua equation of a special form. In the case when a de…
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…
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…
On a quaternionic Maxwell equation for the time-dependent electromagnetic field in a chiral medium
Sergei M. Grudsky, Kira V. Khmelnytskaya, Vladislav V. Kravchenko
Maxwell's equations for the time-dependent electromagnetic field in a homogeneous chiral medium are reduced to a single quaternionic equation. Its fundamental solution satisfying t…
Quaternionic factorization of the Schroedinger operator and its applications to some first order systems of mathematical physics
Viktor G. Kravchenko, Vladislav V. Kravchenko
We consider the following first order systems of mathematical physics. 1.The Dirac equation with scalar potential. 2.The Dirac equation with electric potential. 3.The Dirac equatio…