136 citations · 1.4k across the 71 of their papers we have counts for
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Subdiffusion in the Nonlinear Schroedinger Equation with Disorder
Alexander Iomin
The nonlinear Schroedinger equation in the presence of disorder is considered. The dynamics of an initially localized wave packet is studied. A subdiffusive spreading of the wave p…
On fractional time quantum dynamics
Alexander Iomin
Application of the fractional calculus to quantum processes is presented. In particular, the quantum dynamics is considered in the framework of the fractional time Schrödinger equa…
Dynamics of wave packets for the nonlinear Schroedinger equation with a random potential
A. Iomin
The dynamics of an initially localized Anderson mode is studied in the framework of the nonlinear Schroedinger equation in the presence of disorder. It is shown that the dynamics c…
Lyapunov exponents in 1d disordered system with long-range memory
Alexander Iomin
The Lyapunov exponents for Anderson localization are studied in a one dimensional disordered system. A random Gaussian potential with the power law decay of the corr…