S. Barth

collaborators

3 papers

math-ph2019

Decay rates of bound states at the spectral threshold of multi-particle Schrödinger operators

Simon Barth, Andreas Bitter

We consider $N$ -body Schrödinger operators with $N \geq 3$ particles in dimension $d \geq 3$ in the critical case when the lowest eigenvalue coincides with the bottom of the essential…

math-ph2019

Decay properties of zero-energy resonances of multi-particle Schrödinger operators and why the Efimov effect does not exist for systems of $N \geq 4$ particles

Simon Barth, Andreas Bitter, Semjon Vugalter

We consider $N$ -body Schrödinger operators with a virtual level at the threshold of the essential spectrum. We show that in the case of $N \geq 3$ particles in dimension $n \geq 3$ vi…

math-ph2019

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…

Decay rates of bound states at the spectral threshold of multi-particle Schrödinger operators

Decay properties of zero-energy resonances of multi-particle Schrödinger operators and why the Efimov effect does not exist for systems of N≥4 particles

On the virtual level of two-body interactions and applications to three-body systems in higher dimensions

Decay properties of zero-energy resonances of multi-particle Schrödinger operators and why the Efimov effect does not exist for systems of $N \geq 4$ particles