Green's function method and its application in physics

Authors

  • Misael León-Hilario Grupo de Física Teórica, Facultad de Ciencias, Universidad Nacional de Ingeniería. Lima, Perú
  • Rosendo Ochoa-Jiménez Grupo de Física Teórica, Facultad de Ciencias, Universidad Nacional de Ingeniería. Lima, Perú

Abstract

The Green function method is a very important mathematical device in today's physics. With the help of the Green function, we can transform differential equations into integral equations, which are easier to be solved with the application of perturbation theory. The expression of the Green function depends not only on the differential equation but also on the initial and boundary conditions. Therefore, we can obtain different expressions of the Green function for the same different equation. By giving the right physical interpretation, we will be able to get a criterion for choosing the Green function with which we can solve the equation for a given case.

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References

A. Kolmogorov, Elementos de la Teoría de Funciones y del Análisis Funcional. Moscú. Mir, 1978.

G.Arfken, Mathematical Methods for Physicists. Academic Press International, 1967.

C. Itzinson, Quantum Field Theory. New York. McGraw-Hill, 1965.

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Published

2004-02-01

How to Cite

León-Hilario, M., & Ochoa-Jiménez, R. (2004). Green’s function method and its application in physics. Journal of the Science Faculty @ UNI, 8(1), 48–66. Retrieved from https://revistas.uni.edu.pe/index.php/revciuni/article/view/2376

Issue

Vol. 8 No. 1 (2004)

Section

Artículos

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