- Series
- Math Physics Seminar
- Time
- Wednesday, November 14, 2018 - 4:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 005
- Speaker
- Rohan Ghanta – SoM Georgia Tech
- Organizer
- Michael Loss

We shall consider a three-dimensional Quantum Field Theory model of an electron
bound to a Coulomb impurity in a polar crystal and exposed to a homogeneous
magnetic field of strength B > 0. Using an argument of Frank and Geisinger
[Commun. Math. Phys. 338, 1-29 (2015)] we can see that as B → ∞ the ground-
state energy is described by a one-dimensional minimization problem with a delta-
function potential. Our contribution is to extend this description also to the ground-
state wave function: we shall see that as B → ∞ its electron density in the direction
of the magnetic field converges to the minimizer of the one-dimensional problem.
Moreover, the minimizer can be evaluated explicitly.