Answer by kricheli for Symmetry eliminates degrees of freedom
To explain my comment above:If you have just one particle, it can be described by its position $\vec{x} = (x,y,z)$, three degrees of freedom (DOF). But if the system is invariant under translation the...
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Consider a system of $n$ particles, such as isolated atoms, molecules, nuclei, and the solar system, with $3n$ degrees of freedom; why does translational invariance eliminate three degrees of freedom...
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