School on Critical Stability of Few-Body Quantum Systems

October 4-8, 2021 (by videoconference)

Zoom ID:  875 0604 3945

Password:  fewbody

Zoom protocol: click HERE

Please send an e-mail to thiago AT, if you have any access problem.

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.

Satisfaction survey:


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.

  • Lecture 1: Zero-range universality in two-body systems (Low-energy resonance, scattering length, zero-range theory, Feshbach resonances)
  • Lecture 2: Zero-range universality in three-body system Skorniakov–Ter-Martirosian equation, the Efimov effec
  • Lecture 3: Universal clusters
  • Lecture 4: van der Waals universality


  • 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)



Online application is now closed



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