1D Particle, 1D Field, 1D Interaction. Simple Exactly Solvable Models based on Finite Rank Perturbations Methods. III. Linear Friction as Radiation Reaction

2003/07/13 by Sergej A. Choroszavin, Choroszavin, Sergej A.
Computer Science · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Matrix Theory and Algorithms #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.DS #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0307029

Latex 2.09

arxiv created 2003/07/13 · openalex publication_date 2003/07/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper is an electronic application to my set of lectures, subject:`Formal methods in solving differential equations and constructing models of physical phenomena'. Addressed, mainly: postgraduates and related readers. Content: a discussion of the simple models of linear friction, the models, that have the mechanism that is based on radiation reaction. The interactions we will deal are based on equation arrays of the kind: d² q(t)/dt² =-Ω² q(t)+f_compl(t,q,Q), d² u(t,x)/dt²=c²d² u(t,x)/dx² -4γcδ(x-x₀) F_src(t,q,Q) +f₁(t,x), Q(t) = >. Central mathematical points: d'Alembert-Kirchhoff-like formulae. Central physical points: phenomena of Radiation Reaction, Braking Radiation and Friction.

Citations

• Classical Electrodynamics

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