http://popups.lib.uliege.be/1373-5411/index.php?id=1116 Publications of Auteurs Ernst Binz fr 0 http://popups.lib.uliege.be/1373-5411/index.php?id=3661 The soft tissue contrast provided by magnetic resonance imaging frequently makes it the modality of choice in diagnostic imaging. The paper describes the imagiIJ.g modality of magnetic resonance tomography in terms of harmonic analysis on the Heisenberg Lie group. Thu, 26 Sep 2024 10:32:26 +0200 Thu, 26 Sep 2024 10:32:40 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=3661 http://popups.lib.uliege.be/1373-5411/index.php?id=1113 Any singularity free vector field X defined on an open set in a three-dimensional Euclidean space with curl X = 0 admits a complex line bundle Fa with a fibre-wise defined symplectic structure, a principal bundle Pa and a Heisenberg group bundle. For X = const. The geometry of Pa defines the Schrödinger representation of any fibre of the Heisenberg group bundle and a quantization procedure for homogeneous quadratic polynomials on the real line visualised as a transport along field lines of internal degrees of freedom in Fa. This is related to signal transmission. Fri, 05 Jul 2024 11:33:26 +0200 Mon, 07 Oct 2024 15:43:10 +0200 http://popups.lib.uliege.be/1373-5411/index.php?id=1113