Hi, I am a physics student and i was asked to answer some questions about Hydrogen atom wavefunctions. I hope you can help me (sorry for my english, is not my motherlanguage, i will try to explain myself properly) 1. In order to find hamiltonian eigenfunctions of Hydrogen atom, we make then be simultaneously eigenfunctions of the operators H (hamiltonian) L2 and Lz. What does this condition mean? Why do we do this? 2. Schrödinger ecuation for an electron moving under the action of an electrial (central, spherical) potential, without magnetic interaction or relativistic corrections, can be solved exactly, giving eigenfunctions: Ψn,l,m(r,θ,φ)=R(r)⋅P(θ)⋅G(φ) What do quantum numbers n,l and m mean? Why are variables separable? (I am mostly interested in this one) What do R, P and G mean? I dont know if i made myself clear, I am looking forward your answers. Thanks.