What is the "many-electron wavefunction"? In the introductory picture, the wavefunction represents the particle's probability amplitude and its modulus squared is probability density. It integrates to 1, representing the fact that, with certainty, there's an electron somewhere. What, then, is the interpretation of a many-electron wavefunction? What is it a solution of? If it's a five electron wavefunction, does the modulus squared integrate to 5? What does this wavefunction look like? What's the connection to atomic/molecular orbitals as they're commonly visualized? And to band structures?