activity
20132023
most citedRegular Dynamics and Collisions Inside Classical Closed String

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math-ph20231 cited

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…

math-ph2023

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…

math-ph2018

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 .

math-ph2018

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.

math-ph2018

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…

math-ph2013

Mathematics for some classes of networks

V. A. Malyshev, A. A. Zamyatin

Network (as a general notion) is not a mathematical object - there is no even any definition. However, there is a lot of good rigorous mathematics for well-defined classes of netwo…