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About momentum operator in other coordinate system

  1. Dec 19, 2008 #1


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    Hi there, does anyone know where can I found a material or note about how to deduce momentum operator in coordinate system other than linear coordinate (especially in spherical coordinate system)?

    Thanks in advanced.
  2. jcsd
  3. Dec 20, 2008 #2

    George Jones

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    Express the other coordinates in terms of [itex]x[/itex], and [itex]y[/itex], and [itex]z[/itex], and then use the chain rule. For example,

    \frac{\partial}{\partial x} = \frac{\partial r}{\partial x}\frac{\partial}{\partial r} + \frac{\partial \phi}{\partial x}\frac{\partial}{\partial \phi} + \frac{\partial \theta}{\partial x}\frac{\partial}{\partial \theta}.
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