2 papers
math-ph2025
On the Excess Charge Problem of Atoms
Dirk Hundertmark, Nikolaos Pattakos, Marvin Raimund Schulz
This paper establishes new bounds on the maximum number of electrons that an atom with nuclear charge can bind. Specifically, we show that \begin{equation*} N_c(Z) <…
math-ph2024
Why a System of Three Bosons on Separate Lines Can Not Exhibit the Confinement Induced Efimov Effect
Dirk Hundertmark, Marvin R. Schulz, Semjon Vugalter
We study a system of three bosons interacting with short-range potentials which can move along three different lines. Two of these lines are parallel to each other within one plane…