when using delta function [tex]\delta(r)[/tex] in cordinates othe then cartesian when does it needs to be divided by the jacobian for example in spherical coordinates(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\delta(x)=\frac{1}{r^2sin(\vartheta)}\delta(r-r_{0})\delta(\vartheta-\vartheta_{0})\delta(\phi-\phi_{0})[/tex]

but if you want a delta function that involves only the radial coordinate doy you still need to divide all the jacobian like this [tex]\delta(r)=\frac{1}{r^2sin(\vartheta)}\delta(r-r_{0})[/tex]

or only the radial part like this

[tex]\delta(r)=\frac{1}{r^2}\delta(r-r_{0})[/tex]

thanks

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# Homework Help: Jacobian in delta function

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