2 papers
math-ph2005
Operator Separation Of Variables For Adiabatic Problems In Quantum And Wave Mechanics
V. V. Belov, S. Yu. Dobrokhotov, T. Ya. Tudorovskiy
We study linear problems of mathematical physics in which the adiabatic approximation is used in the wide sense. Using the idea that all these problems can be treated as problems w…
math.DS2001
On Averaging for Hamiltonian Systems with One Fast Phase and Small Amplitudes
J. Bruening, S. Yu. Dobrokhotov, M. Poteryakhin
The problem of averaging for systems with one fast phase was considered from various points of view in many papers. The averaging method of Krylov and Bogolyubov and methods of KAM…