Parabolic Cylindrical Coordinates

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σ
τ
z
Arfken
Morse, Feshbach
axes
The parabolic cylindrical curvilinear coordinate system is one of the many coordinate systems that make the Laplace and Helmoltz differential equations separable.

Details

This Demonstration implements both Arfken's and Morse and Feshbach's definitions of parabolic cylindrical coordinates. The Mathematica Vector Analysis Package implements the Morse and Feshbach definition.

External Links

Parabolic Cylindrical Coordinates (Wolfram MathWorld)
Laplace's Equation (Wolfram MathWorld)
Helmoltz Differential Equation (Wolfram MathWorld)
Vector Analysis Package (Wolfram Documentation Center)
Cylindrical Coordinates
Spherical Coordinates

Permanent Citation

Adriano Pascoletti
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​"Parabolic Cylindrical Coordinates"​
​http://demonstrations.wolfram.com/ParabolicCylindricalCoordinates/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011