Coherent states associated to the Jacobi group – a variation on a theme by Erich Kähler. (English) Zbl 1143.81015

Berceanu, Stefan

J. Geom. Symmetry Phys. 9, 1-8 (2007).

Summary: Using the coherent states attached to the complex Jacobi group – the semi-direct product of the Heisenberg-Weyl group with the real symplectic group – we study some of the properties of coherent states based on the manifold which is the product of the \(n\)-dimensional complex plane with the Siegel upper half plane.

MSC:

81R30	Coherent states
81R05	Finite-dimensional groups and algebras motivated by physics and their representations
22E70	Applications of Lie groups to the sciences; explicit representations
32Q15	Kähler manifolds