Koopman Methods in Classical and Classical-Quantum Mechanics
19 Apr - 23 Apr 2021
Online Seminar (MeetAnyway)
Prof. Dr. Denys I. Bondar, Tulane University, New Orleans, USA • Prof. Dr. Irene Burghardt, University Frankfurt, Germany • Prof. Dr. François Gay-Balmaz, CNRS and E´cole Normale Sup´erieure, Paris, France • Prof. Dr. Igor Mezic, University of California at Santa Barbara, USA • Prof. Dr. Cesare Tronci, University of Surrey, UK, and Tulane University, USA
Following Koopman’s Hilbert-space description of classical mechanics from the early thirties, Koopman operators are nowadays a crucial concept in ergodic theory. Within the areas of applied mathematics and quantum physics, Koopman operators are now being used successfully in fluid dynamics and Koopman-von Neumann wavefunctions have recently led to relevant developments, for example, in the studyof classical-quantum correspondence. Moreover, following an earlier proposal by George Sudarshan, Koopman wavefunctions have recently opened up promising avenues to model the interaction between classical and quantum systems beyond the use of standard semiclassical methods. However, despite these successes, Koopman methods are still little known outside the dynamical systems community and this seminar emerges as a unique opportunity for filling this gap between mathematical and physical sciences. Indeed, this meeting is meant to bring together communities from Mathematical Physics, Quantum Physics, and Chemical Physics working on different topics, including fluid dynamics, classical mechanics, and hybrid classical-quantum systems, with the intention of exploring the benefits of Koopman methods in different fields.