Talk:Multipole expansion/to do
Tasks for expert:
derive the multipole expansion of a scalar field and explain relation to Taylor series,- stress immediated application to both electrostatics and Newtonian gravitostatics,
- discuss some simple examples such as field of uniform rod, disk.
- derive analogous expansions for vector and tensor fields (or at least give citations),
- illustrate relation of terms to monopole, dipole, quadrupole
- discuss non-uniqueness of sources for a given potential
- add annonated citations, e.g. 'Mathematical Methods for Physics by Arfken and Weber (alas, insufficiently readable, organization not good enough), Methods of Mathematical Physics by Jeffries and Jeffries (better, except for unfortunately nonstandard notation),
- link to discussion of applications in gravitation, electromagnetism, etc.,
- link to forthcoming article on relativistic multipoles (for general relativity)