Texas A&M, College Station, Texas, USA
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.
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