Lecture of our guest Feliks Nüske, MPI Magdeburg

Title: Koopman Analysis of Quantum Systems

Koopman operator theory has been successfully applied to problems from various research areas such as fluid dynamics, molecular dynamics, climate science, engineering, and biology. Most applications of Koopman theory have been concerned with classical dynamical systems driven by ordinary or stochastic differential equations. In this presentation, we will first compare the ground-state transformation and Nelson's stochastic mechanics, thereby demonstrating that data-driven methods developed for the approximation of the Koopman operator can be used to analyze quantum physics problems. Moreover, we exploit the relationship between Schrödinger operators and stochastic control problems to show that modern data-driven methods for stochastic control can be used to solve the stationary or imaginary-time Schrödinger equation. Our findings open up a new avenue towards solving Schrödinger's equation using recently developed tools from data science.

If you are not able to attend in person, please follow this link: https://riceuniversity.zoom.us/j/95245308776?pwd=akZKd1JJbTRuODdvNXdLTzd4R2xQQT09

We are looking forward seeing you there!