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24 papers · 1 filter
High temperature superconductivity and charge segregation in a model with strong long-range electron-phonon and Coulomb interactions
A. S. Alexandrov, P. E. Kornilovitch
An analytical method of studying strong long-range electron-phonon and Coulomb interactions in complex lattices is presented. The method is applied to a perovskite layer with aniso…
"Dispersion management" for solitons in a Korteweg-de Vries system
Simon Clarke, Boris A. Malomed, Roger Grimshaw
The existence of ``dispersion-managed solitons'', i.e., stable pulsating solitary-wave solutions to the nonlinear Schrödinger equation with periodically modulated and sign-variable…
Integrable Systems and Metrics of Constant Curvature
Maxim V. Pavlov
In this article we present a Lagrangian representation for evolutionary systems with a Hamiltonian structure determined by a differential-geometric Poisson bracket of the first ord…
Chaos and rectification of electromagnetic wave in a lateral semiconductor superlattice
Kirill N. Alekseev, Pekka Pietilainen, Alexander A. Zharov +1
We find the conditions for a rectification of electromagnetic wave in a lateral semiconductor superlattice with a high mobility of electrons. The rectification is assisted by a tra…
Excitations and phase segregation in a two component Bose-Einstein condensate
A. S. Alexandrov, V. V. Kabanov
Bogoliubov-de Gennes (BdG) equations and the excitation spectrum of a two-component Bose-Einstein condensate (BEC) are derived with an arbitrary interaction between bosons, includi…
Three-body scattering problem and two-electron tunneling in molecular wires
A. S. Alexandrov, A. M. Bratkovsky, P. E. Kornilovitch
We solve the Lippmann-Schwinger equation describing elastic scattering of preformed pairs (e.g. bipolarons) off a short-range scattering center and find the two-particle transmissi…