(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

I need help in solving second part of this question.

I put ## e^{i \alpha }\psi ## instead of ##\psi ## and got to see that the integrand doesn't change which means the given transformation is a symmetry of the given action. But how to use this information to find out constant of motion?

I have seen a lot of pdf which talk of the transformation ## \psi ## going to ## \psi + \epsilon \eta (x) ##. Since, the transformation given in this problem is different. I do not know with what I should start.

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# Using symmetry of action to find the constant of motion

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