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Energy Escape to Infinity for Systems with Infinite Number of Particles
V. A. Malyshev, A. A. Zamyatin
Here we consider system of infinite number of particles where any particle cannot escape to infinity. We define what means escape of energy to infinity and apply this notion to the…
Regular Dynamics and Collisions Inside Classical Closed String
V. A. Malyshev, A. A. Zamyatin
We consider classical closed string with particles inside. Taking collisions into account, we consider dynamics of this -particle system under the influence of constant exte…
Introduction to Micro Life of Graphs. I
V. A. Malyshev, A. A. Zamyatin
Multiparticle systems on complicated metric graphs might have many applications in physics, biology and social life. But the corresponding science still does not exist. Here we sta…
One-dimensional quantum walks with a general perturbation of the radius 1
M. Ryazanov, A. Zamyatin
We give a complete description of the discrete spectrum of one-dimensional Hamiltonian with a general perturbation of the radius .
One particle subspaces for two particle quantum walks with ultralocal interaction
V. Malyshev, A. Zamyatin
We study one particle subspaces for two particles of different masses with ultra local interaction on a lattice of arbitrary dimension.
Restricted three particle quantum walk on : explicit solution
R. Iasnogorodski, V. Malyshev, A. Zamyatin
We consider 3 particles on . One of them has infinite mass and stands still at . The particles interact only if all of them are at the point . We give a full d…