Transform from Magnitude of P to R

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To transform momentum to position in spherical coordinates, the recommended approach is to first convert to Cartesian coordinates before transitioning to spherical coordinates. However, the integral involved in this transformation is considered undoable for the specific spherically symmetric function being discussed. The complexity of the integral poses challenges in achieving the desired transformation. Clarification on the nature of the function may provide additional insights into potential solutions. Understanding the limitations of the integral is crucial for further progress in the transformation process.
Thinker301
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Hi everyone!

How do I transform Momentum to Position in spherical coordinates?Thinker301
 
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Transform to Cartesian coordinates then to spherical.

Thanks
Bill
 
Sadly that integral is undoable. I may have forgot to mention the function I am trying to transform is spherically symmetric. If that helps.
 
Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?

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