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.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!

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