no code implementations • 22 Feb 2021 • Christian Brennecke, Benjamin Schlein, Severin Schraven
We consider a Bose gas consisting of $N$ particles in $\mathbb{R}^3$, trapped by an external field and interacting through a two-body potential with scattering length of order $N^{-1}$.
Mathematical Physics Analysis of PDEs Mathematical Physics 81Q10, 82B10
no code implementations • 15 Jan 2021 • Giulia Basti, Serena Cenatiempo, Benjamin Schlein
We establish an upper bound for the ground state energy per unit volume of a dilute Bose gas in the thermodynamic limit, capturing the correct second order term, as predicted by the Lee-Huang-Yang formula.
Mathematical Physics Quantum Gases Analysis of PDEs Mathematical Physics
no code implementations • 9 Dec 2020 • Jürg Fröhlich, Antti Knowles, Benjamin Schlein, Vedran Sohinger
The former is a classical field theory for a complex scalar field with quartic self-interaction.
Mathematical Physics Mathematical Physics Probability 60G60, 82B10, 81V70
no code implementations • 5 May 2020 • Nikolai Leopold, David Mitrouskas, Simone Rademacher, Benjamin Schlein, Robert Seiringer
We consider the Fr\"ohlich Hamiltonian with large coupling constant $\alpha$.
Mathematical Physics Mathematical Physics
