Integrate Laplacian operator by parts

Eric_J
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upload_2016-1-18_18-33-58.png

This is the key step to transform from position space Schrodinger equation to its counterpart in momentum space.
How is the first equation transformed into 3.21?
To be more specific, how to integral Laplacian term by parts?
 
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Do you know tensor tensor calculus or at least the Gauss-Ostrograski theorem in 3D?
 
dextercioby said:
Do you know tensor tensor calculus or at least the Gauss-Ostrograski theorem in 3D?
upload_2016-1-18_21-6-4.png

Thanks for the hint!
 

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