- #1

Trying2Learn

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- TL;DR Summary
- Is such separation possible only in 11 coordinate systems?

I

I list them below:

1.Cartesian coordinates

2.Circular-cylinder coordinates

3.Elliptic-cylinder coordinates

4.Parabolic-cylinder coordinates

5.Spherical coordinates

6.Prolate spheroidal coordinates

7.Oblate spheroidal coordinates

8.Parabolic coordinates

9.Conical coordinates

10.Ellipsoidal coordinates

11.Paraboloidal coordinatesIf this is true, why eleven?

Or is my memory foggy, and this is not true?

*vaguely*(*strong word there because I can no longer remember the source, but the idea sticks in my head for 30 years now*) recall reading (somewhere long forgotten) that method of separation of variables is possible in only 11 coordinate systems.I list them below:

1.Cartesian coordinates

2.Circular-cylinder coordinates

3.Elliptic-cylinder coordinates

4.Parabolic-cylinder coordinates

5.Spherical coordinates

6.Prolate spheroidal coordinates

7.Oblate spheroidal coordinates

8.Parabolic coordinates

9.Conical coordinates

10.Ellipsoidal coordinates

11.Paraboloidal coordinatesIf this is true, why eleven?

Or is my memory foggy, and this is not true?