Helmholtz Differential Equation--Confocal Paraboloidal Coordinates

As shown by Morse and Feshbach (1953), the Helmholtz differential equation is separable in confocal paraboloidal coordinates.

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References

Moon, P. and Spencer, D. E. Field Theory Handbook, Including Coordinate Systems, Differential Equations, and Their Solutions, 2nd ed. New York: Springer-Verlag, pp. 47-48, 1988.Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, p. 664, 1953.

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Weisstein, Eric W. "Helmholtz Differential Equation--Confocal Paraboloidal Coordinates." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HelmholtzDifferentialEquationConfocalParaboloidalCoordinates.html

Helmholtz Differential Equation--Confocal Paraboloidal Coordinates

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