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Invariance properties of the multipole expansion

✍ Scribed by Piotr Piecuch

Publisher
John Wiley and Sons
Year
1982
Tongue
English
Weight
234 KB
Volume
22
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

The calculations of long‐range interaction energy are often based on multipole expansion. The truncated multipole expansion and interaction energy calculated with it are noninvariant with respect to an arbitrary choice of local coordinate systems. In this paper we show that truncated multipole expansion of form Ξ£ C~k~R^βˆ’k^ is β€œnumerically” independent on a choice of local coordinate systems, if convergence conditions are satisfied.

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