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- Title
Integration between Physics and Mathematics: the relation between Green's functions and method of images as a worked example.
- Authors
Cohen Pantoja, Glauco; de Sousa Elias, Walace
- Abstract
In the present work we discuss how to address the solution of electrostatic problems, in professional cycle of undergraduate course in science or engineering, using Green's functions and the Poisson's equation. For this, it is considered the structural role that mathematics, especially Green's function, has in physical thought presented in the method of images. By using this procedure and discussing the historical construction of Green's problem, it was possible to verify its relationship with the method of images as an interdisciplinary approach that is not developed in didactic physics textbooks. The possibility of analyzing Green's function as the result of two tasks, namely, the reduction of a continuous charge distribution to the one due to a point charge and the solution of the problem as the superposition of potentials due to sets of point charges continuously distributed represented by the integration of the Green's function over the electric charge density, is our account for teaching implication that shows, at the same time, epistemological ruptures and continuities to teaching-learning processes.
- Subjects
GREEN'S functions; ELECTROSTATICS
- Publication
Latin-American Journal of Physics Education, 2022, Vol 16, Issue 4, p1
- ISSN
1870-9095
- Publication type
Article