Introduction to zero-range interactions and the Efimov effect

by Dr Giulia Basti (GSSI)

Monday 13 May 2024, 14:00 → Friday 17 May 2024, 16:00 Europe/Rome

Lecturer:  
Giulia Basti (GSSI)

giulia DOT basti AT gssi DOT it

 

Course description    

Zero-range interactions, formally defined as a perturbation of the free Hamiltonian by means of a Dirac delta, emerge as a natural tool to describe situations in which the particle wavelength is much larger than the range of the interaction and therefore the fine details of the interaction are expected to become irrelevant. They are structurally simple being characterized by a few physical parameters and allow to make explicit (although formal) computations, two features which have made them widespread in physics from the first appearance in nuclear physics to more recent applications in the study of ultra-cold quantum gases. 

In this class the main motivation will be the derivation of the Efimov effect, a striking phenomenon emerging in the study of three particle quantum systems in 3d: when the two-body interactions are short range and resonant (namely they have infinite scattering length) a long-range three-body attraction arises which supports a series of bound states accumulating to zero according to a universal scaling law. 
 

Schedule 
All lectures will be held at the Main Lecture Hall in Viale Crispi 7 building, according to the following schedule: 

Mon    May 13: 14-16 
Tue     May 14: 11-13 
Thu     May 16: 11-13 
Fri       May 17: 14-16