https://tu-dortmund.zoom.us/j/94812627974?pwd=K0ozelQrT3FpTGFQWXJ0blJBVktGUT09

The impact of the Pauli principle, as expressed by the antisymmetry of many-particle wave functions, depends on the regularity of Sobolev function and hence on the space dimension, right? - Yes and no! On the one hand, all forms of so-called contact interactions are excluded in all space dimensions d >1 but not for d=1. On the other hand, the extent to which short-range forces of a certain normalized strength are weakened by the Pauli principle is independent of the space dimension. This is the result of a surprising interplay between spectral theory and Sobolev regularity. - Joint work with Michael Hofacker.

Marcel Griesemer

Universität Stuttgart