A simple equation to study interacting Bose gasses
Texas A&M, College Station, Texas, USA
May 15, 2020
In this talk, I will discuss a partial differential equation introduced by Lieb in 1963 in the context of studying interacting Bose gasses. I will first discuss how this equation can be used to accurately compute physically relevant quantities related to the Bose gas, such as the ground state energy and condensate fraction. I will then present a construction of the solutions to the equation, and discuss some of their properties.
Slides
PDF:
LaTeX source:

tarball: 20tamu1.0.tar.gz

git repository: 20tamugit (the git repository contains detailed information about the changes in the slides as well as the source code for all previous versions).
References
This presentation is based on

[CJL19]: Analysis of a simple equation for the ground state energy of the Bose gas
Eric Carlen, Ian Jauslin, Elliott H. Lieb, 2019
pdf, source

[CJLL20]: On the convolution inequality f>f*f
Eric A. Carlen, Ian Jauslin, Elliott H. Lieb, Michael Loss, 2020
pdf, source