2 citations · 3 across the 5 of their papers we have counts for
5 papers
Polynomial splines interpolating prime series
Lumomir Alexandrov, D. B. Baranov, Plamen Yotov
Differentiable real function reproducing primes up to a given number and having a differentiable inverse function is constructed. This inverse function is compared with the Riemann…
Non-polarizing two-atom interaction potential in the liquid He-4
D. B. Baranov, V. S. Yarunin, A. I. Kirillov
A formula for potential U of the He-4--He-4 interaction in the liquid state is obtained by the direct electromagnetic computation as a function of the interatomic distance R. The p…
Two-atomic potential and distortion of excitation spectrum of liquid He-4 by admixture of He-3
D. B. Baranov, V. S. Yarunin, A. I. Kirillov
The new interatomic potential g(r), providing the tunnelling of atoms, is suggested for calculating HFB phonon-roton spectrum E(p) of liquid He-4. The tunnelling enables the calcul…
He-4 spectrum shift caused by He-3 admixture
D. Baranov, V. Yarunin
The shift of a maxon-roton He-4 excitation spectrum E via the He-3 admixture is considered theoretically. The Bogoliubov formula for E(ρ, g) as a function of Bose-condensate densit…
Trapped Bose-condensate in gravity field
D. B. Baranov, V. S. Yarunin
The 1D and 2D Bose-condensation of trapped atoms in a gravitational field are considered. The deformation of the finite parabolic potential in this field is modeling via the combin…