 0333 Sergej A. Choroszavin ( sergius@pve.vsu.ru )
 An Interaction of An Oscillator with
An OneDimensional Scalar Field.
Simple Exactly Solvable Models based on
Finite Rank Perturbations Methods.
I: D'AlembertKirchhofflike formulae
(88K, LaTeX 2.09)
Jan 29, 03

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Abstract. (the paper is a version of 0326:
Subsection 1.4 (Resonance) extended and corrected)
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^2 u(t,x)/t^2=c^{2}d^2 u(t,x)/dx ^2
4\gamma c\delta(xx_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'AlembertKirchhofflike formulae.
Central physical points: phenomena of Radiation Reaction, Braking Radiation
and Resonance.
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0333.src(
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0333.tex )