2 papers
math-ph2022
The ionization problem in quantum mechanics
Phan Thành Nam
While it is well-known experimentally that a neutral atom can bind at most one or two extra electrons, deriving this fact rigorously from first principles of quantum mechanics rema…
math-ph2016
Norm approximation for many-body quantum dynamics and Bogoliubov theory
Phan Thành Nam, Marcin Napiórkowski
We review some recent results on the norm approximation to the Schrödinger dynamics. We consider bosons in with an interaction potential of the form $N^{3β-1}w(N…