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How Quantum Mechanics reconciles with Classical Mechanics?

Imagine we have to charged particles. The kinetic energy of the system is: $$ T = \frac{1}{2}(m_1 + m_2) \mathbf{\dot{R}}_{cm}^2 + \frac{1}{2} \mu \dot{R}^2 + \frac{L^2}{2 \mu R^2} $$ and its ...
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