School on Critical Stability of Few-Body Quantum Systems

October 4-8, 2021 (by videoconference)

Zoom information will be available here a few days before the school

ICTP-SAIFR, São Paulo, Brazil


The lectures in the school will introduce basic few-body techniques understandable for advanced master’s students.

Topics to be covered include:

  • Few-body techniques using coordinate space for bound and continuum states
  • Few-body techniques using momentum space for bound and continuum states
  • Universality in few-body systems
  • One- and two-dimensional systems

There is no registration fee. There will be a miniworkshop during the school in which selected participants will present short talks. Applicants who would like to give a short talk should submit a title and abstract before the application deadline.



Click here for online application

Application deadline: September 30, 2021


Doerte Blume (Center for Quantum Research and Technology Homer L. Dodge, Department of Physics and Astronomy, The University of Oklahoma, USA)

  • Lecture 1: 1D fermions: statics and dynamics
  • Lecture 2: Dynamics of the helium dimer dynamics: universal and non-universal features
  • Lecture 3: Efimov scenario in the presence of spin-orbit coupling
  • Lecture 4: Dynamics of two-level emitter(s) coupled to bath

Alejandro Kievsky (Istituto Nazionale di Fisica Nucleare-Pisa, Italy)

  • Lecture 1: The two-body problem at low energies. Scattering length, effective range and shallow bound (or virtual) states.
  • Lecture 2: The two-nucleon problem, bound and scattering states. The proton-proton case.
  • Lecture 3: The variational principle for scattering. Integral relations.
  • Lecture 4: The Hyperspherical Harmonics, general properties and applications to few-body systems.

Pascal Naidon (RIKEN – Nishina Centre, Japan): Efimov physics and universality in few-body systems.
I will discuss the concept of universality, starting with zero-range universality at the two-body and then three-body level, with illustrations from both nuclear and atomic physics. I will explain the Efimov effect in detail, before presenting universal clusters of larger size. I might discuss van der Waals universality as well.


  • Tobias Frederico (ITA, Brazil)
  • Hans Otto Uldall Fynbo (Aarhus University, Denmark)
  • Alejandro Kipevsky (INFN-Pisa, Italy)
  • Jean-Marc Richard (University of Lyon, France)
  • Marcelo Takeshi Yamashita (IFT-UNESP, Brazil)



Click here for online application

Application deadline: September 30, 2021

Preliminary Program

Videos and Files


Additional Information