Modern Methods for Differential Equations of Quantum Mechanics (24w5227)

Organizers

Karolina Kropielnicka (Polish Academy of Sciences)

(National University of Singapore)

(University of Cambridge)

Caroline Lasser (Technische Universitaet Muenchen)

Katharina Schratz (Sorbonne Université)

Description

The Banff International Research Station will host the “Modern Methods for Differential Equations of Quantum Mechanics” workshop in Banff from April 21 - 26, 2024.


The interdisciplinary workshop "Modern methods for differential equations of quantum mechanics” will gather leading world authorities in computational mathematics together with experts in quantum physics and physical chemistry.


While quantum mechanics has been originally motivated by fundamental questions in theoretical physics, it now plays central role in applications: from control theory to quantum computing, physical chemistry, material theory and increasingly biology and drug design. Yet, equations of quantum mechanics present a formidable computational challenge, which will form a core of the workshop. The last few years have witnessed the emergence of a raft of modern computational methodologies that allow for very precise computational approximation of the equations of quantum mechanics while respecting features of physical significance. The new computational technologies bring together ideas from numerical mathematics, but also from differential geometry, harmonic analysis and other branches of pure mathematics, as well as ideas that have emerged in the applied community.


The future of the subject depends on an ongoing dialogue between mathematicians and the users of quantum computations. We expect that this will form the core of the workshop.


The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides 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 is located at The Banff Centre in Alberta and 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).