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Note on the Zeros of the Spherical Harmonic Formula ( )

โœ Scribed by MacDonald, H. M.


Book ID
120104078
Publisher
Oxford University Press
Year
1901
Tongue
English
Weight
122 KB
Volume
s1-34
Category
Article
ISSN
0024-6115

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A simple formula for the spherical multipole tensor which has better scaling behaviour than those based on a cartesian formulation is presented. The interaction energy calculation scales as ~'(L 4) for a multipole expansion up to rank L. A new derivation of the bipolar multipole expansion for well-s