Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

The following question come to my mind when I am viewing this Wiki page:

"Laplace's equation is separable in 13 orthogonal coordinate systems, and the Helmholtz equation is separable in 11 orthogonal coordinate systems."

Is it possible to explain why this is the case?

share|improve this question
add comment

1 Answer

A partial answer; separability of coordinates requires certain relations among the scale factors of the coordinate system. For the Helmholtz equation there is the Robertson condition which when solved yields the 11 coordinate systems.

Chapter 5 of Morse and Feshbach "Methods of Theoretical Physics", Volume 1 covers this in detail.

share|improve this answer
add comment

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.