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单词 Laplace's Equation--Bispherical Coordinates
释义

Laplace's Equation--Bispherical Coordinates

In Bispherical Coordinates, Laplace's Equation becomes


(1)

Let


then Laplace's Equation is partially separable, although the Helmholtz Differential Equation is not.
References

Arfken, G. ``Bispherical Coordinates .'' §2.14 in Mathematical Methods for Physicists, 2nd ed. Orlando, FL: Academic Press, pp. 115-117, 1970.

Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 665-666, 1953.


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