I'll just drop a note here to say that these spherical harmonics are also used in creating specialized neural network layers that are useful for modeling 3D objects like point clouds and moleculues, proteins, etc. Basically whenever we want to make sure that rotating / translating the object doesnt make a new object. [0] is a good reference for this.
Even more interesting is that these are the same spherical harmonics that appear as solutions to Schrodinger's equation in quantum mechanics (s, p, d, f orbitals in an atom) [1]
I'll just drop a note here to say that these spherical harmonics are also used in creating specialized neural network layers that are useful for modeling 3D objects like point clouds and moleculues, proteins, etc. Basically whenever we want to make sure that rotating / translating the object doesnt make a new object. [0] is a good reference for this.
Even more interesting is that these are the same spherical harmonics that appear as solutions to Schrodinger's equation in quantum mechanics (s, p, d, f orbitals in an atom) [1]
[0] https://arxiv.org/abs/2312.07511. [1] https://en.wikipedia.org/wiki/Atomic_orbital