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math-ph2026
On the Efimov Effect for Four Particles in Dimension Two
Jonathan Rau, Marvin R. Schulz
We prove that the Schrödinger operator describing four particles in two dimensions, interacting solely through short-range three-body forces, can possess infinitely many bound sta…
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…