Semiclassical propagator for SU(n) coherent states

TL;DR

This paper derives a semiclassical propagator for SU(n) coherent states, focusing on symmetric representations suitable for bosonic systems with conserved particle number, offering an alternative to existing methods.

Contribution

It provides a detailed derivation of the semiclassical propagator for SU(n) coherent states, specifically for symmetric irreducible representations, with potential extensions to other states.

Findings

Derivation of the semiclassical propagator for SU(n) coherent states

Application to bosonic systems with conserved particle number

Framework adaptable to other coherent state classes

Abstract

We present a detailed derivation of the semiclassical propagator in the SU(n) coherent state representation. In order to provide support for immediate physical applications, we restrict this work to the fully symmetric irreducible representations, which are suitable for the treatment of bosonic dynamics in n modes, considering systems with conservation of total particle number. The derivation described here can be easily extended to other classes of coherent states, thus representing an alternative approach to previously published methods.