Noethers theorem relates invariance in some way to the conservation of a quantity. Some common ones are rotational invariance, translational etc.(adsbygoogle = window.adsbygoogle || []).push({});

But after solving the hydrogen atom in QM I discovered that there can be hidden conserved quantities caused by more subtle invariances (the Runge-Lenz vector).

So my question is: Are there anything that tells us maximum amount of conserved quantites for a system with a given hamiltonian?

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# Invariance and conserved quantities

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