2 citations · 4 across the 4 of their papers we have counts for
3 papers · 1 filter
Confluent Heun functions and the Coulomb problem for spin 1/2 particle in Minkowski space
V. Balan, A. M. Manukyan, E. M. Ovsiyuk +2
In the paper, the well-known quantum mechanical problem of a spin 1/2 particle in external Coulomb potential, reduced to a system of two first-order differential equations, is stud…
A series solution of the general Heun equation in terms of incomplete Beta functions
A. M. Manukyan, T. A. Ishkhanyan, M. V. Hakobyan +1
We show that in the particular case when a characteristic exponent of the singularity at infinity is zero the solution of the general Heun equation can be expanded in terms of the…
Matter wave propagation above a step potential within the cubic-nonlinear Schrödinger equation
H. A. Ishkhanyan, A. M. Manukyan, A. M. Ishkhanyan
We analyze the matter wave transmission above a step potential within the framework of the cubic-nonlinear Schrödinger equation. We present a comprehensive analysis of the correspo…