Is the wave function more like a soccer ball, or a golf ball

BTBlueSkies
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I have been trying to understand the wave function around an atom..

Is it more like a soccer ball where the shell is smooth but is more likely to be found in say the dark areas, or is it more like a golf ball where it is not only angularly undulating, but also radially undulating?
 
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I'm not sure what you mean. The Schrodinger solution for S1 is smoothly changing with the radius, without undulations, assuming a point-like, positively charged nucleus. I'd imagine it is could not be so smooth with a real nuclear charge disribution.
 
BTBlueSkies said:
I have been trying to understand the wave function around an atom..

First and foremost, do you understand that the wave function is not a physical object and is not found around an atom?
 
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Drakkith said:
First and foremost, do you understand that the wave function is not a physical object and is not found around an atom?

Do you think the OP was referencing the Bohr model? Or perhaps these--

hydrogen_orbitals___poster_by_darksilverflame-d5ev4l6.png
 
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I think I see where you are coming from. The first row is not "undulating" from the center out (radially) but hemispherically (angularly) and the first column is radially and not angular. Is that what you mean?
 
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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