Coherent states in complex variables and classical dynamics

TL;DR

This paper explores the properties of coherent states in complex variables across SU(n) groups, deriving path integral expressions and classical equations of motion, enhancing understanding of quantum-classical correspondence.

Contribution

It introduces a general method to derive path integrals and classical dynamics for SU(n) coherent states, extending previous work to arbitrary n.

Findings

Path integral expressions for SU(n) coherent states derived

Canonical equations of motion obtained in the classical limit

Framework applicable to various SU(n) groups

Abstract

It was studied coherent states in complex variables in SU(2), SU(3), SU(4) groups and in general in SU(n) group. Using the completeness relation of the coherent state, we obtain a path integral expression for transition amplitude which connects a pair of SU(n) coherent states. In the classical limit, a canonical equation of motion is obtained.