On relations between vertex operators, quasiclassical operators, and phase space coordinates

TL;DR

This paper explores the geometric relationship between vertex operators, quasiclassical operators, and phase space coordinates, linking quantum mechanics concepts to classical coadjoint orbits in KP calculations.

Contribution

It provides a geometric framework connecting quantum mechanics and classical phase space structures in the context of KP theory.

Findings

Established a connection between quantum mechanics and classical coadjoint orbits.

Provided a geometric background for quasiclassical KP calculations.

Linked vertex operators to phase space coordinates through a geometric perspective.

Abstract

For certain situations we give a geometrical background for quasiclassical KP calculations based on an explicit connection to quantum mechanics and the collapse of coherent states to coadjoint orbits for classical operators.