3 papers
math.NT2002
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…
cond-mat.stat-mech2001
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…
cond-mat.stat-mech2001
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…