Coherent states for arbitrary Lie group

TL;DR

This paper generalizes the concept of coherent states from the Weyl group to arbitrary Lie groups, constructing and analyzing these states for simple cases to explore their properties.

Contribution

It introduces a framework for defining and studying coherent states associated with any Lie group, extending beyond traditional cases.

Findings

Coherent states constructed for simple Lie groups.

Analysis of features of these generalized coherent states.

Foundation for further exploration of Lie group representations.

Abstract

The concept of coherent states originally closely related to the nilpotent group of Weyl is generalized to arbitrary Lie group. For the simplest Lie groups the system of coherent states is constructed and its features are investigated.