Xiaoan Shen : Nonlinear bound states with prescribed angular momentum

Posted by Ian Tobasco , part of the Analysis and Applied Mathematics Seminar.

At

March 27, 2023, 4 p.m.

In

1227 SEO

Abstract

We prove the existence of a class of orbitally stable bound state solutions to nonlinear Schrodinger equations with super-quadratic confinement in two and three spatial dimensions. These solutions are given by time-dependent rotations of a non-radially symmetric spatial profile which in itself is obtained via a doubly constrained energy minimization. One of the two constraints imposed is the total mass, while the other is given by the expectation value of the angular momentum around the z-axis. Our approach also allows for a new description of the set of minimizers subject to only a single mass constraint.