Douglas Lundholm: 2D Coulomb gases and particles in magnetic fields

I will outline how one is led to study a classical 2D Coulomb gas, starting from a quantum theory of electrons moving in a magnetic field and confined to a plane (but interacting with their usual 3D Coulomb repulsion). This is also a part of Laughlin's Nobel Prize-awarded work on the fractional quantum Hall effect. If time permits we can look at related, more complicated many-particle wave functions and the problem of computing their correlation functions.