209 citations · 5.6k across the 322 of their papers we have counts for
12 papers · 1 filter
Optimization of self-similar factor approximants
V. I. Yukalov, S. Gluzman
The problem is analyzed of extrapolating power series, derived for an asymptotically small variable, to the region of finite values of this variable. The consideration is based on…
Scheme of thinking quantum systems
V. I. Yukalov, D. Sornette
A general approach describing quantum decision procedures is developed. The approach can be applied to quantum information processing, quantum computing, creation of artificial qua…
Particle fluctuations in nonuniform and trapped Bose gases
V. I. Yukalov
The problem of particle fluctuations in arbitrary nonuniform systems with Bose-Einstein condensate is considered. This includes the case of trapped Bose atoms. It is shown that the…
Stable States of Biological Organisms
V. I. Yukalov, D. Sornette, E. P. Yukalova +2
A novel model of biological organisms is advanced, treating an organism as a self-consistent system subject to a pathogen flux. The principal novelty of the model is that it descri…
Adiabatic theorems for linear and nonlinear Hamiltonians
V. I. Yukalov
Conditions for the validity of the quantum adiabatic approximation are analyzed. For the case of linear Hamiltonians, a simple and general sufficient condition is derived, which is…
Generation of nonground-state condensates and adiabatic paradox
V. I. Yukalov, V. S. Bagnato
The problem of resonant generation of nonground-state condensates is addressed aiming at resolving the seeming paradox that arises when one resorts to the adiabatic representation.…