Geometrical methods for multiparticle Schrödinger operators
with applications to the Efimov effect.
- Place: Kollegiengebäude Mathematik SR 1.067/MS Teams
- Time: 4.11.2020, 16:30
- Invited by: Dekan der Fakultät
Abstract
Geometrical methods based on partition of unity of the configuration space of a system are very
elementary and at the same time are the most effective methods in spectral theory of multiparticle
Schrödinger operators. In the lecture I will introduce these methods and show how they can be
applied to prove finiteness of the number of eigenvalues of the Schrödinger operator
Due to the recent developments in the experimental physics the so-called Efimov effect, which is the
existence of infinite number of eigenvalues in multiparticle systems with short-range interactions
attracted a new wave of attention. In the lecture I will explain, why this effect is impossible for
systems of N three-dimensional particles for N ≥ 4.