7 papers
Ground State Energy of Dilute Fermi Gases in 1D
Johannes Agerskov, Robin Reuvers, Jan Philip Solovej
We study the spin-J Fermi gas, interacting through a general repulsive 2-body potential, and prove asymptotics of the ground state energy in the dilute limit. The asymptotic behavi…
Fraudulent Publishing in Mathematics: A European Call to Action and How Information Infrastructure Can Help
Moritz Schubotz, Jan Philip SoloveJ
The IMU-ICIAM working group's new report on Fraudulent Publishing in the Mathematical Sciences documents how gaming of bibliometrics, predatory outlets and paper-mill activity are…
Optimal Remainder Estimates in the Quantization of Complex Projective Spaces
Tommaso Aschieri, BÅażej Ruba, Jan Philip Solovej
We study Berezin-Toeplitz quantization of complex projective spaces and obtain full asymptotic expansions of the Berezin transformation and of products of Toepl…
The angular momentum distribution of electrons in large atoms and its deviation from Madelung's rule
August Bjerg, Søren Fournais, Peter Hearnshaw +1
We show that the angular momentum distribution of neutral atoms, in the sense of occupation numbers, follows the Thomas-Fermi angular momentum distribution in the limit of large at…
Mathematical physics of dilute Bose gases
Jan Philip Solovej
We discuss recent progress in the mathematical analysis of dilute Bose gases. We review results in one to three dimensions, but the focus will be on three dimensions. In all dimens…
Periodicity of atomic structure in a Thomas-Fermi mean-field model
August Bjerg, Jan Philip Solovej
We consider a Thomas-Fermi mean-field model for large neutral atoms. That is, Schrödinger operators in three-dimensional space, where is…