Michel Caffarel

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Directeur de Recherches au Centre National de la Recherche Scientifique (CNRS)
Lab. de Chimie et Physique Quantiques "(LCPQ)
Université Paul Sabatier " (UPS) and University of Toulouse (UT)
Phone: +33 5 61 55 60 46
Fax: +33 5 61 55 60 65
E-mail: caffarel@irsamc.ups-tlse.fr
Mail: CNRS-Lab. de Chimie et Physique Quantiques
IRSAMC Université Paul Sabatier, 118 route de Narbonne
31062 Toulouse Cedex (FRANCE)


Development of methods and applications for the N-body quantum problem in physics and chemistry.





  • M. Caffarel, Encyclopedia of Applied and Computational Mathematics, ed. Bjorn Engquist, Springer (2011).
  • Fixed-Node Quantum Monte Carlo for Chemistry M. Caffarel and A. Ramirez-Solis, in The proceedings of the 14th International Conference: "Recent Progress in Many-Body Theories", edited by Jordi Boronat, Gregory Astrakharchik, and Ferran Mazzanti, World Scientific (2008).
  • A few aspects of QMC for molecules M. Caffarel, R. Assaraf, A. Khelif, A. Scemama, A. Ramirez-Solis, in "Mathematical and Numerical Aspects of Quantum Chemistry Problems", Mathematisches Forschunginstitut Oberwolfach, p.7 Report No.47/2006 (2006).
  • A pedagogical introduction to quantum Monte Carlo
    M. Caffarel, R. Assaraf in Mathematical models and methods for ab initio Quantum Chemistry in Lecture Notes in Chemistry, eds. M. Defranceschi and C.Le Bris, Springer p.45 (2000)
  • Stochastic methods in quantum mechanics
    M. Caffarel in Numerical Determination of the Electronic Structure of Atoms, Diatomic and Polyatomic Molecules (Kluwer Academic Publishers, 1989), pp.85-105.

Methodology: General Aspects

Zero-Variance Zero-Bias principle and its Applications (Forces)

Trial wavefunctions

Electron Pair Localization Function

Maximum probability domains

QMC for vibrational levels

Implementation of large-scale QMC simulations

Perturbation Theory with QMC. Applications to interaction energies and polarizabilities

Perturbation Theory with SAPT

The fermion sign problem

Nodal properties of wavefunctions

Chemical applications

Theoretical condensed-matter physics (Hubbard and Heisenberg models)

Quantum aesthetics

  • L’esthétique quantique : un regard croisé Arts et Sciences
    M. Martinez et M. Caffarel in Science, Fables and Chimera: Strange Encounters, edited by Laurence Roussillon- Constanty and Philippe Murillo, Cambridge, Cambridge Scholars Publishing, 2012. Actes du Colloque International "Science, fables et chimères: croisements" Toulouse,10-11 Juin 2011.

Other publications