37 citations · 64 across the 3 of their papers we have counts for
3 papers
math-ph2023
Ground state of Bose gases interacting through singular potentials
Lea Boßmann, Nikolai Leopold, Sören Petrat +1
We consider a system of bosons on the three-dimensional unit torus. The particles interact through repulsive pair interactions of the form for .…
math-ph2019★ 27 cited
Beyond Bogoliubov Dynamics
Lea Boßmann, Sören Petrat, Peter Pickl +1
We consider a system of N interacting bosons in the mean-field scaling regime and construct corrections to the Bogoliubov dynamics that approximate the true N-body dynamics in norm…
math-ph2014★ 37 cited
Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction
Volker Bach, Sébastien Breteaux, Sören Petrat +2
We study the time evolution of a system of spinless fermions in which interact through a pair potential, e.g., the Coulomb potential. We compare the dynamics giv…