On the Convergence of the Interpenetrating Bipolar Expansion for the Coulomb Potential

作者: H.J. Silverstone

DOI: 10.1016/B978-0-12-800536-1.00001-0

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摘要: Abstract In the interpenetrating region where | r 1 - 2 R + , individual terms in bipolar expansion for Coulomb potential are shown to decay like (l1 l2)-1, rendering convergence of at best conditional. Moreover, Laplace’s equation, which is satisfied term-by-term separated > r1 r2 region, be neither nor pointwise.

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