6–7 Jun 2025
University of Regina
Canada/Central timezone

Noncommutative formulation of classical mechanics

6 Jun 2025, 09:30
15m
191 (Education Bldg)

191

Education Bldg

Contributed Talk Mathematical Physics

Speaker

Mr Mustafa Amin (University of Lethbridge)

Description

Classical mechanics can be cast in a framework that represents observables as operators and states as vectors in some Hilbert space, as shown by Koopman and von Neumann. In such a formulation, noncommuting operators naturally arise and the question of their physical interpretation is relevant for understanding both classical and quantum mechanics. We describe a general map from ordinary phase-space variables to operators for classical theories, and discuss its usefulness and physical relevance.

Author

Mr Mustafa Amin (University of Lethbridge)

Co-author

Presentation materials