Re:Circular Harmonics
by dr_dshiv on Friday October 29, 2021 @07:32PM
(#29044657)
How might spherical harmonics be relevant for quantum computing? I’m on the hunt for visualizations. (Not to be confused with the Bloch Sphere!)
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Re:Circular Harmonics
by robotsteve2 on Friday October 29, 2021 @07:37PM
(#29044683)
Spherical harmonics are a useful mathematical basis set for eigenfunctions of a Schrodinger equation describing a hydrogen atom like system.
There's nothing particularly special about them, and they fail to be a good basis set for solutions of other types of quantum systems. Conversely, they can be useful for non-quantum systems - any sort of wave equation in a sphere.
It's not an intrinsically quantum mechanical thing.
Idk… seems intrinsic in so far as waves are intrinsic to Quantum Mechanics.
Check out these visuals from “the orbitron”: https://winter.group.shef.ac.uk/orbitron/