Quantum Transport Equations and Applications (18w5059)


Roberto Quezada (Universidad Autónoma Metropolitana, Iztapalapa Campus)

(University of South Carolina)

Eric Carlen (Rutgers University)

(Politecnico di Milano)


The Casa Matemática Oaxaca (CMO) will host the "Quantum Transport Equations and Applications" workshop from September 2nd to September 7th, 2018.

Transport equations are mathematical models describing transportation of particles, energy, momentum and many other quantities. They naturally arise in several contexts in physics, engineering and biology modeling several phenomena in various domains. Recently, around the world, much effort is going into the development of quantum technologies. Even the refinement of traditional electronic technologies is moving further and further into the quantum realm as semiconductor devices smaller and smaller numbers of electrons over smaller and smaller pathways. Against this background, and partly motivated by it, the study of quantum transport equations has undergone an active development in recent years as the mathematical framework of the theory.

Because the new mathematical developments are being driven by problems arising in a wide variety of potential applications, it is especially timely to bring together researches who are leading the various different aspects of the recent advances in the field, and to develop a general perspective of the current research advances and opportunities. It is expected that this will be especially beneficial to young researchers, and it is planned to have many young researches participating in the meeting. We expect that the main topics of the workshop will include:

- Transport equations

- Stochastic limit type semigroups

- Quantum kinetic equations

- Applications to Physics, Information and Biology

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT.