Coordinate transformation of the Navier Stokes equation

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Homework Statement
Given navier stokes equation in certisian form ,it is asked to use coordinate transformation equation to derive navier stokes equation in cylindrical coordinates .
Relevant Equations
x=rcos(theta),
y=rsin(theta)
z=z
i have successfully transformed the continuity equation using coordinate transform,but having trouble with the momentum equation .
1702232831115.png

can someone kindly provide the transformation of the right hand sight of equation of the image i have attached.
 
Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

Thread 'Help with Time-Independent Perturbation Theory "Good" States Proof'

(Disclaimer: this is not a HW question. I am self-studying, and this felt like the type of question I've seen in this forum. If there is somewhere better for me to share this doubt, please let me know and I'll transfer it right away.) I am currently reviewing Chapter 7 of Introduction to QM by Griffiths. I have been stuck for an hour or so trying to understand the last paragraph of this proof (pls check the attached file). It claims that we can express Ψ_{γ}(0) as a linear combination of...
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