Mini-Workshop: Entropies and Optimal Transport in Quantum Mechanics

Part of the Long Program Optimal Transport
June 5 - 6, 2008


In many important applications (such as ultra integrated solid state devices, or other applications in nanoscience) so called open quantum systems occur, which model the interaction of the particles not only with each other (electrostatically) but also with their environment. Typical questions that occur are existence of steady states, convergence to equilibria, and speed of convergence, which in some cases can be dealt with by exploiting the mathematical properties of the quantum entropy. Another important topic of the meeting is going to be the application of optimal mass transportation techniques to linear and nonlinear Schrödinger equations.