[thomasqm]

You’re a crackpot! What is an atomic field? Are you referring to the electromagnetic fields generated by subatomic and ionic particles? If so, they are indeed a linear superposition, whose constituents do have wavefunctions, which do include (spherical) harmonics.

[reasonabl_human]

AFAIK, no such thing as a particle as traditionally discussed exists at the subatomic level. A ‘particle’ is really a quantum excitation of the appropriate field. At least that is how we learned it in particle physics using current field theory and Feynman diagrams