Coherent states in real parameterization up to SU(5) and classical dynamics of spin systems

TL;DR

This paper develops a real parameterization of spin coherent states up to SU(5), deriving path integral expressions and classical equations of motion, enhancing understanding of quantum-classical correspondence in spin systems.

Contribution

Introduces a novel real parameterization of spin coherent states up to SU(5) and derives associated path integral and classical equations of motion.

Findings

Path integral expression for transition amplitude derived.

Classical equations of motion obtained from the quantum formulation.

Extension of coherent state formalism to higher SU(N) groups.

Abstract

In this paper, we develop the formulation of the spin coherent state in real parameterization up to SU(5). The path integral in this representation of coherent state and its classical consequence are investigated. Using the resolution of unity of the coherent state, we derive a path integral expression for transition amplitude and in the classical limit we derive the classical equation of motion.