Question: A stationary-state wave function is an eigenfunction of the Hamiltonian operator H = T + V. Students sometimes erroneously believe that c is an eigenfunction

A stationary-state wave function is an eigenfunction of the Hamiltonian operator H = T + V. Students sometimes erroneously believe that c is an eigenfunction of T and of V. For the ground state of the hydrogen atom, verify directly that c is not an eigenfunction of T or of V, but is an eigenfunction of T + V. Can you think of a problem we solved where c is an eigenfunction of T and of V?

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