Abstract
This chapter is devoted to the solution of Poisson’s Equation using a Green’s Function. We have already solved Poisson’s equation in Sect. 4.4 (see (4.8)). That solution was the last of a set of theorems for Poisson’s Equation, which we proved in Appendix F. Since the solution to Poisson’s equation is unique, the solutions we obtain here will be identical to those that we would have obtained from (4.8). The difference will only be in approach.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
These may be general, such as finite values of potentials, rather than specific.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2012 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Helrich, C.S. (2012). Green’s Functions. In: The Classical Theory of Fields. Graduate Texts in Physics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23205-3_8
Download citation
DOI: https://doi.org/10.1007/978-3-642-23205-3_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23204-6
Online ISBN: 978-3-642-23205-3
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)