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单词 Robertson Condition
释义

Robertson Condition

For the Helmholtz Differential Equation to be Separable in a coordinate system, the Scale Factors in the Laplacian

(1)

and the functions and defined by
(2)

must be of the form of a Stäckel Determinant
(3)

See also Helmholtz Differential Equation, Laplace's Equation,Separation of Variables, Stäckel Determinant


References

Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part 1. New York: McGraw-Hill, p. 510, 1953.


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