21 citations · 52 across the 8 of their papers we have counts for
10 papers
Confluent hypergeometric expansions of the confluent Heun function governed by two-term recurrence relations
T. A. Ishkhanyan, V. P. Krainov, A. M. Ishkhanyan
We show that there exist infinitely many nontrivial choices of parameters of the single confluent Heun equation for which the three-term recurrence relations governing the expansio…
Rational solutions of (1+1)-dimensional Burgers equation and their asymptotic
V. I. Avrutskiy, V. P. Krainov
A special initial condition for (1+1)-dimensional Burgers equation is considered. It allows to obtain new analytical solutions for an arbitrary low viscosity as well as for the inv…
WKB-approach for the 1D hydrogen atom
A. M. Ishkhanyan, V. P. Krainov
Taking into account results of WKB-approximation, we derive exact quantum energies and wave functions of even and odd states in the one-dimensional Coulomb potential
Uncertainty relation for the radial momentum and radial coordinate in the Coulomb potential
A. M. Ishkhanyan, V. P. Krainov
We have obtained the uncertainty relations for arbitrary states of the hydrogen atom. It is shown that the minimal value of the uncertainty relation is attained for the circular Ry…
Low-frequency electromagnetic radiation of hydrogen molecular gas: effect of the ortho-para conversion
A. M. Ishkhanyan, V. P. Krainov
We calculate the rate of the spontaneous magnetic dipole radiation transitions from ortho- to para-states of the hydrogen molecule at the room temperature with the radiation wavele…
Dissociation of quarkonium in a strong electric field
A. M. Ishkhanyan, V. P. Krainov
The probability of tunnel decay of quarkonium (bond state of a heavy quark and a heavy antiquark) into free quarks in a strong electric field is estimated.