131 citations · 285 across the 13 of their papers we have counts for
13 papers
Stability of solutions of systems of Volterra integral equations
Ilya Boykov, Vladimir Roudnev, Alla Boykova
In this paper we propose new sufficient conditions for stability of solutions of systems of Volterra linear integral equations and systems of linear integro-differential Volterra e…
Theoretical study of reactions in the three body system and antihydrogen formation cross sections
V. A. Gradusov, V. A. Roudnev, E. A. Yarevsky +1
We apply a new highly efficient method of solving Faddeev-Merkuriev equations to multi-channel scattering calculations of the antihydrogen formation cross section for antiproton sc…
Solving the Faddeev-Merkuriev equations in total orbital momentum representation via spline collocation and tensor product preconditioning
Vitaly A. Gradusov, Vladimir A. Roudnev, Evgeny A. Yarevsky +1
The computational approach for solving the Faddeev-Merkuriev equations in total orbital momentum representation is presented. These equations describe a system of three quantum cha…
Approaching universality in weakly-bound three-body systems
Vladimir Roudnev, Michael Cavagnero
Atom-dimer scattering below the three-body break-up threshold is studied for a system of three identical bosons. The atom-dimer scattering length and the energy of the most weakly-…
Benchmark helium dimer and trimer calculations with a public few-body code
V. Roudnev, Michael Cavagnero
We present detailed calculations of bound and scattering states of dimers and trimers of He to produce highly accurate data and to test a non-relativistic three-body code currently…
Solution of three-dimensional Faddeev equations: ultracold Helium trimer calculations with a public quantum three-body code
E. A. Kolganova, V. Roudnev, M. Cavagnero
We present an illustration of using a quantum three-body code being prepared for public release. The code is based on iterative solving of the three-dimensional Faddeev equations.…