5 citations · 8 across the 4 of their papers we have counts for
4 papers
The absence of the Efimov effect in systems of one- and two-dimensional particles
Simon Barth, Andreas Bitter, Semjon Vugalter
We study virtual levels of -particle Schrödinger operators and prove that if the particles are one-dimensional and , then virtual levels at the bottom of the essential s…
Decay rates of bound states at the spectral threshold of multi-particle Schrödinger operators
Simon Barth, Andreas Bitter
We consider -body Schrödinger operators with particles in dimension in the critical case when the lowest eigenvalue coincides with the bottom of the essential…
Decay properties of zero-energy resonances of multi-particle Schrödinger operators and why the Efimov effect does not exist for systems of particles
Simon Barth, Andreas Bitter, Semjon Vugalter
We consider -body Schrödinger operators with a virtual level at the threshold of the essential spectrum. We show that in the case of particles in dimension vi…
On the virtual level of two-body interactions and applications to three-body systems in higher dimensions
Simon Barth, Andreas Bitter
We consider a system of three particles in dimension 4 and higher interacting via short-range potentials, where the two-body Hamiltonians have a virtual level at the bottom of the…