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To-do list for Multipole expansion: |
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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),
- 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)
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[edit] Suggested improvements
This is a good start, but this is a big topic and we need to say more (see todo list for suggestions). Note that I came here while writing todo list for Talk:Linearized gravity. ---CH 00:52, 6 February 2006 (UTC)