3 papers
quant-ph2005
On the notion of quantum Lyapunov exponent
M. F. Kondratieva, T. A. Osborn
Classical chaos refers to the property of trajectories to diverge exponentially as time tends to infinity. It is characterized by a positive Lyapunov exponent. There are many diffe…
physics.comp-ph2005
Numerical study of high frequency asymptotics of the symbol of the Dirichlet-to-Neumann operator in 2D diffraction problems
Margo Kondratieva, Sergey Sadov
A high-frequency asymptotics of the symbol of the Dirichlet-to-Neumann map, treated as a periodic pseudodifferential operator, in 2D diffraction problems is discussed. Numerical re…
math.DS2004
Two-system of a Hamiltonian system
M. F. Kondratieva, S. Yu. Sadov
For a Hamiltonian system in R^{2n}, its two-system is defined in the phase space R^{2n} x sp(2n,R). In a sense, it is a combination of the original system and its system in variati…