Semiclassical Propagator in the Generalized Coherent-State Representation

TL;DR

This paper derives a semiclassical propagator in the generalized coherent-state representation using the saddle-point method, providing a versatile formalism applicable to various coherent states like canonical, spin, and SU(n) bosonic states.

Contribution

It presents a detailed derivation of the semiclassical propagator in a generalized coherent-state framework, expanding its applicability to multiple types of coherent states.

Findings

Derivation of the semiclassical propagator using saddle-point method

Application to canonical, spin, and SU(n) bosonic coherent states

Enhanced formalism for semiclassical analysis in quantum systems

Abstract

A detailed derivation of the semiclassical propagator in the generalized coherent-state representation is performed by applying the saddle-point method to a path integral over the classical phase space. With the purpose of providing greater accessibility and applicability to the developed formalism, a brief review of the generalized concept of coherent states is presented, in which three examples of coherent-state sets are examined, namely, the canonical, spin, and SU(n) bosonic coherent states.