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etotheipi

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## Main Question or Discussion Point

I’ve seen the description of electrons around an atom as existing as standing waves with different harmonics corresponding to different energy levels.

The atom is evidently 3-dimensional, and the wave function of an electron must also be in terms if 3 spatial coordinates.

What mathematical extension to 2D standing waves is made to convert them i to a 3D form? I’m almost certainly not nearly good enough to understand the full maths behind this but was just wondering where I could find a more high level description of this.

Thanks

The atom is evidently 3-dimensional, and the wave function of an electron must also be in terms if 3 spatial coordinates.

What mathematical extension to 2D standing waves is made to convert them i to a 3D form? I’m almost certainly not nearly good enough to understand the full maths behind this but was just wondering where I could find a more high level description of this.

Thanks