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Ground state energy of a gas of hard spheres in the Gross-Pitaevskii regime

Benjamin Schlein (Universität Zürich)
Monday 17 October 2022 16:15 Zoom
Mathematics Seminar

We consider a gas of N bosons moving on the three-dimensional unit torus and interacting through a hard sphere potential with radius of order 1/N. We prove an upper bound for the ground state energy, valid up to errors that vanish in the limit of large N.

This is joint work with G. Basti, S. Cenatiempo, A. Olgiati and G. Pasqualetti.

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Organised by: SQM
Revised: 25.05.2023