49 citations · 308 across the 24 of their papers we have counts for
25 papers
Quantisations of the Volterra hierarchy
Sylvain Carpentier, Alexander V. Mikhailov, Jing Ping Wang
In this paper we explore a recently emerged approach to the problem of quantisation based on the notion of quantisation ideals. We explicitly prove that the nonabelian Volterra tog…
Perturbative Symmetry Approach for Differential-Difference Equations
A. V. Mikhailov, V. S. Novikov, J. P. Wang
We propose a new method for solution of the integrability problem for evolutionary differential-difference equations of arbitrary order. It enables us to produce necessary integrab…
Dynamics and control of nonradiative excitons - free carriers mixture in GaAs/AlGaAs quantum wells
A. S. Kurdyubov, A. V. Trifonov, B. F. Gribakin +9
Dynamics of nonradiative excitons with large in-plane wave vectors forming a so-called reservoir is experimentally studied in a high-quality semiconductor structure containing a 14…
Automorphic Lie algebras and corresponding integrable systems
Rhys T. Bury, Alexander V. Mikhailov
We study automorphic Lie algebras and their applications to integrable systems. Automorphic Lie algebras are a natural generalisation of celebrated Kac-Moody algebras to the case w…
PreHamiltonian and Hamiltonian operators for differential-difference equations
Sylvain Carpentier, Alexander V. Mikhailov, Jing Ping Wang
In this paper we are developing a theory of rational (pseudo) difference Hamiltonian operators, focusing in particular on its algebraic aspects. We show that a pseudo--difference H…
Electron and hole spin relaxation in InP-based self-assembled quantum dots emitting at telecom wavelengths
A. V. Mikhailov, V. V. Belykh, D. R. Yakovlev +4
We investigate the electron and hole spin relaxation in an ensemble of self-assembled InAs/InAlGaAs/InP quantum dots with emission wavelengths around $1.…