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What does parity operation mean on a vector represented in polar form

Physics Asked by user150854 on March 5, 2021

Recently i studied vector’s mathematical meaning (i.e the vectors transforms the same way as co- ordinate system) and our teacher introduced us to parity operation and how vectors transforms under it. A’=P A this operation changed both both x and y co-ordinates .I wanted to know how would parity operation look on a vector reprented by polar co-ordinate form

One Answer

The parity operation in cartesian coordinates $$xrightarrow -x, yrightarrow -y, zrightarrow -z$$ corresponds to begin{align} r &rightarrow r theta &rightarrow pi-theta phi &rightarrow phi + pi end{align} in spherical coordinates.

Answered by Sparticle on March 5, 2021

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