Picture of the title of the Institute: analysis & Probabillity in Quantum Physics

The Pan-American Advanced Studies Institute, 2006 (PASI) on Analysis and Probability in Quantum Physics will be held at Pontificia Universidad Católica de Chile, Santiago de Chile, 24 July--4 August, 2006.

The Institute will emphasize the use of probability theory and analysis in modern mathematical physics, in areas such as random Schrödinger and wave operators, the stability of matter, and quantum transport theory. The two week program will consist of a series of six mini-courses during the first week and an international workshop the second week.



Peter D. Hislop, Mathematics Department, University of Kentucky

The members of the committee represent the various areas of concentration of the PASI program. The Organizing Committee also assist the PI with advertising the PASI meeting, and in the selection of the students for the school.


  • Horacio Falomir, Universidad Nacional de La Plata, La Plata, Argentina
  • Claudio Fernandez, Pontificia Universidad Católica de Chile, Santiago de Chile
  • Alejandro Ramírez, Pontificia Universidad Católica de Chile, Santiago de Chile
  • Georgi Raikov, Universidad de Chile, Santiago de Chile
  • Ricardo Weder, Universidad Nacional Autonoma de Mexico, Mexico City, Mexico


International Congress of Mathematical Physics - This congress will take place in Rio de Janeiro, Brazil, 6-13 August 2006.

WEEK ONE: Mini-courses, 24-28 July 2006

We will support up to 40 students from the Americas so that they may attend the PASI school and workshop. If our requests to other agencies are funded, we will be able to invite more students. There will be 6 mini-courses of 4-lecture hours per course. We have chosen topics that are at the center of contemporary research in the mathematical theory of quantum mechanics.


  • Ira W. Herbst, University of Virginia, The Spectral and Scattering Theory of Quantum Particles in External Fields
  • Abel Klein, University of California, Irvine Random Schrödinger Operators
  • Jean Bellissard, Georgia Institute of Technology, Theory of Quantum Transport
  • Richard Froese, University of British Columbia, Theory of Quantum Resonances
  • Rafael Benguria, Pontificia Universidad Católica de Chile, Stability of Matter and Quantum Field Theory
  • Laszlo Erdos, Ludwig-Maximilians-Universität München, Classical and Quantum Brownian Motion

Biographical Sketches of Speakers »

Student application

WEEK TWO: 31 July-4 August 2006

International Workshop on Analysis and Probability in Quantum Physics

The PASI school will be followed by a five-day international workshop that will highlight recent advances in the topics discussed during the first week mini-courses. These include, for example, localization, delocalization, and transport phenomena for random Schrödinger operators, scattering and spectral theory for homogeneous potentials and magnetic Schrodinger operators, the distribution of resonances for Schrodinger operators, eigenvalue problems such as the Lieb-Thirring inequalities, kinetic equations in scaling limits, modeling atom-field interactions, and applications of Brownian motion and percolation theory to problems in mathematical physics. In addition to invited talks by international experts, the PASI students will have the opportunity to present their own research.

Invited Participants »


The PASI school and workshop will take place on the San Joaquin campus of the Pontificia Universidad Católica de Chile in Santiago de Chile. Good internet facilities and an outstanding mathematics and physics library will add to the success of the meeting. The campus is conveniently located near the subway station San Joaquin. There are nearby hotels and a student hostel for the PASI program participants.