Does the potential change as an electron moves within an atom?

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as I understand it the wave function of an electron around the nucleus is determined by the potential. but doesn't the potential change when the electron moves to a higher or lower shell/subshell.
 
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The usual schrodinger's eq doesn't deal with self-potentials (self-energies). It only addresses electrons in an external potential. This potential is constant no matter where the electron is.
 

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