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单词 Confocal Paraboloidal Coordinates
释义

Confocal Paraboloidal Coordinates


(1)


(2)


(3)

where , , and .
(4)


(5)


(6)

The Scale Factors are
(7)
(8)
(9)

The Laplacian is

(10)
The Helmholtz Differential Equation is Separable.

See also Helmholtz Differential Equation--Confocal Paraboloidal Coordinates


References

Arfken, G. ``Confocal Parabolic Coordinates (, , ).'' §2.17 in Mathematical Methods for Physicists, 2nd ed. Orlando, FL: Academic Press, pp. 119-120, 1970.

Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, p. 664, 1953.


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更新时间:2024/11/15 3:14:09