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**1. The problem statementhttps://www.physicsforums.com/attachments/225935**

## Homework Equations

**3. I have rescaled coordinates which are X=(x**

_{1}+x_{2})/√2 and Y=√3(x_{1}-x_{2})/√2 for which the potential term becomes for a 2D harmonic oscillator of coordinates X and Y. But how to express Kinetic terms in terms of these new coordinates X and Y?#### Attachments

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