15 citations · 45 across the 6 of their papers we have counts for
6 papers · 1 filter
On the Convergence to a Statistical Equilibrium in the Crystal Coupled to a Scalar Field
T. V. Dudnikova, A. I. Komech
We consider the dynamics of a field coupled to a harmonic crystal with components in dimension , . The crystal and the dynamics are translation-invariant with resp…
On the Convergence to a Statistical Equilibrium for the Dirac Equation
T. V. Dudnikova, A. I. Komech, N. J. Mauser
We consider the Dirac equation in with constant coefficients and study the distribution of the random solution at time . It is assumed that the initial measure…
Energy-momentum relation for solitary waves of relativistic wave equations
T. V. Dudnikova, A. I. Komech, H. Spohn
Solitary waves of relativistic invariant nonlinear wave equation with symmetry group U(1) are considered. We prove that the energy-momentum relation for spherically symmetric solit…
On a Two-Temperature Problem for Wave Equation
T. V. Dudnikova, A. I. Komech, H. Spohn
Consider the wave equation with constant or variable coefficients in . The initial datum is a random function with a finite mean density of energy that also satisfies a Rosen…
On Convergence to Equilibrium Distribution, II. The Wave Equation in Odd Dimensions, with Mixing
T. V. Dudnikova, A. I. Komech, N. E. Ratanov +1
The paper considers the wave equation, with constant or variable coefficients in , with odd . We study the asymptotics of the distribution of the random soluti…
Lectures on Quantum Mechanics (nonlinear PDE point of view)
A. Komech
We expose the Schrödinger quantum mechanics with traditional applications to Hydrogen atom. We discuss carefully the experimental and theoretical background for the introduction of…