# Topological Quantum Field Theory Seminar

### 11/12/2013, 17:00 — 18:00 — Room P4.35, Mathematics Building

Carlos Guedes, *AEI, Golm-Potsdam*

### The non-commutative Fourier transform for Lie groups

The phase space given by the cotangent bundle of a Lie group
appears in the context of several models for physical systems. In
quantum mechanics on the Euclidean space, the standard Fourier
transform gives a unitary map between the position representation
-- functions on the configuration space -- and the momentum
representation -- functions on the corresponding cotangent space.
That is no longer the case for systems whose configuration space is
a more general Lie group. In this talk I will introduce a notion of
Fourier transform that extends this duality to arbitrary Lie
groups.

Current organizers: Roger Picken, Marko Stošić.

FCT Project PTDC/MAT-GEO/3319/2014, *Quantization and Kähler Geometry*.