XLI Workshop on Geometric Methods in Physics Białystok, 1-6.07.2024 XIII School on Geometry and Physics Białystok, 8-12.07.2024

Edwin Beggs

Noncommutative geometry, parallel transport and quantum mechanics

I shall consider parallel transport of states on noncommutative algebras, and differentiating positive maps more generally using Hilbert $C^*$-bimodules. This will be applied to the Heisenberg algebra of position and momentum operators. From this we can form a geometric picture of quantum mechanics using parallel transport on the Heisenberg algebra.
Event sponsored by
University of Białystok
University of Białystok