2 citations · 4 across the 4 of their papers we have counts for
5 papers
Bi-confluent Heun potentials for a stationary relativistic wave equation for a spinless particle
H. H. Azizbekyan, A. M. Manukyan, V. M. Mekhitarian +1
The variety of bi-confluent Heun potentials for a stationary relativistic wave equation for a spinless particle is presented. The physical potentials and energy spectrum of this wa…
A conditionally integrable Schrödinger potential of a bi-confluent Heun class
T. A. Ishkhanyan, A. M. Manukyan, A. M. Ishkhanyan
We present a bi-confluent Heun potential for the Schrödinger equation involving inverse fractional powers and a repulsive centrifugal-barrier term the strength of which is fixed to…
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…