Coordinate transformation for \(\nabla^2\) operator

Domhnall Murphy
Note by Domhnall Murphy, updated 3 months ago
Domhnall Murphy
Created by Domhnall Murphy over 5 years ago
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Description

Converting the $\nabla^2$ operator from 3D cartesian to 3D spherical polar coordinates.

Resource summary

Page 1

The equation below shows the \(\nabla^2\) operator in three-dimensional cartesian coordinates\[\nabla^2 = \frac{\partial^2}{\partial x^2} + \frac{\partial^2}{\partial y^2} + \frac{\partial^2}{\partial z^2}\]

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