- 03-509 Sergej A. Choroszavin ( sergius@pve.vsu.ru )
- The Ground, a String, Two Elastic Springs.
Simple Exactly Solvable Models
of One-Dimensional Scalar Fields
with Concentrated Factors.
(50K, LaTeX 2.09)
Nov 25, 03
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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
( I would rather say, toy models )
of the interaction based
on equation arrays of the kind:
d^2 u(t,x)/dt^2=c^{2}d^2 u(t,x)/dx^2
-4{\gamma_a}c\delta(x-x_a) Q_a(t)
-4{\gamma_b}c\delta(x-x_b) Q_b(t),
Q_a(t) = u(t,x_a), Q_b(t) = u(t,x_b).
Central mathematical points: d'Alembert-Kirchhoff-like Formulae,
Finite Rank Perturbations.
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03-509.tex )