Generalized intelligent states of the su(N) algebra

TL;DR

This paper derives new classes of coherent and squeezed states for the su(N) algebra by minimizing the Schrödinger-Robertson uncertainty relation using explicit representations and differential realizations.

Contribution

It introduces explicit Fock-Bargmann representations and differential realizations for su(N), leading to the derivation of new coherent and squeezed states.

Findings

Explicit su(N) coherent states constructed

New classes of squeezed states derived

Uncertainty relations minimized for su(N) generators

Abstract

Schr\" odinger-Robertson uncertainty relation is minimized for the quadrature components of Weyl generators of the algebra $su(N)$. This is done by determining explicit Fock-Bargamann representation of the $su(N)$ coherent states and the differential realizations of the elements of $su(N)$. New classes of coherent and squeezed states are explicitly derived.