We're working on the parity operator in my second semester quantum mechanics class and there is one point I am confused about, either in the definition of degeneracy or in the parity operator itself. We talked about a theorem whereby the parity operator and the Hamiltonian cannot share simultaneous eigenkets (or, alternatively, wave functions) if there is a degeneracy in the Hamiltonian, regardless of whether or not parity and the Hamiltonian commute.(adsbygoogle = window.adsbygoogle || []).push({});

However, I thought that the Hydrogen wave functions have a definite parity (going as whether [tex]\ell[/tex] is even or odd), even though the Hydrogen spectrum is highly degenerate ignoring corrections. What am I missing?

Thanks!

Tom

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# Parity Operator

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