An Interaction of An Oscillator with An One-Dimensional Scalar Field. Simple Exactly Solvable Models based on Finite Rank Perturbations Methods. I: D'Alembert-Kirchhoff-like formulae
Choroszavin, Sergej A.
arXiv, 0301167 / Harvested from arXiv
Text on arXiv
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 very detailed discussion of the simple model of interaction based on the equation array: d^2 q(t)/dt^2 =-\Omega^2(q(t)-Q(t))+f_0(t), d^2u(t,x)/t^2=c^{2}d^2 u(t,x)/dx ^2 -4\gamma c\delta(x-x_0)(Q(t)-q(t)) +f_1(t,x), Q(t) = u(t,x_0) . Besides, less detailed discussion of related models. Central mathematical points: d'Alembert-Kirchhoff-like formulae. Central physical points: phenomena of Radiation Reaction, Braking Radiation and Resonance.
Publié le : 2003-01-15
Classification:  Mathematics - Dynamical Systems,  Mathematical Physics 
@article{0301167,
     author = {Choroszavin, Sergej A.},
     title = {An Interaction of An Oscillator with An One-Dimensional Scalar Field.
  Simple Exactly Solvable Models based on Finite Rank Perturbations Methods. I:
  D'Alembert-Kirchhoff-like formulae},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0301167}
}

Choroszavin, Sergej A. An Interaction of An Oscillator with An One-Dimensional Scalar Field.
  Simple Exactly Solvable Models based on Finite Rank Perturbations Methods. I:
  D'Alembert-Kirchhoff-like formulae. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0301167/