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## Homework Statement

Consider the Klein-Gordon equation ##(\partial_\mu \partial^{\mu}+m^2)\varphi(x)=0##. Using Noether's theorem, find a continuity equation of the form ##\partial_\mu j^{\mu}=0##.

## Homework Equations

##(\partial_\mu \partial^{\mu}+m^2)\varphi(x)=0##

## The Attempt at a Solution

I really haven't been able to solve this problem because I don't understand why Noether's Theorem would be useful in this case. Any help would be greatly appreciated.