Energies of dilute Fermi gases
Vortrag von Dr. Asbjørn Bækgaard Lauritsen
Sprecher eingeladen von: Prof. Dr. Benjamin Schlein
Datum: 15.05.25 Zeit: 16.15 - 18.00 Raum: Y27H46
Recently much interest has been given to the study of dilute interacting Bose and Fermi gases. For both the Bose gas and Fermi gas with spin the ground state energy densities differ to leading order from that of the free (non-interacting) gases by a term of order $a_s \rho^{2}$ with $a_s$ the $s$-wave scattering length of the repulsive interaction. In contrast, for a spin-polarized Fermi gas, the difference is instead of order $a_p \rho^{8/3}$ with $a_p$ the $p$-wave scattering length. I will discuss some intuition behind these results and in particular how the $p$-wave term is related to the Pauli exclusion principle. Joint work with Robert Seiringer.