Analytic representations based on su(3) coherent states and Robertson intelligent states

TL;DR

This paper constructs new classes of coherent and squeezed states for the su(3) algebra using analytic representations, focusing on Robertson intelligent states that minimize the Schrödinger-Robertson uncertainty relation.

Contribution

It introduces a novel method to construct su(3) coherent and squeezed states via analytic representations, expanding the understanding of Robertson intelligent states.

Findings

Explicit construction of su(3) coherent states.

Derivation of new classes of squeezed states.

Identification of Robertson intelligent states as eigenstates.

Abstract

Robertson intelligent states which minimize the Schr\" odinger-Robertson uncertainty relation are constructed as eigenstates of a linear combination of Weyl generators of the $su(3)$ algebra. The construction is based on the analytic representations of $su(3)$ coherent states. New classes of coherent and squeezed states are explicitly derived.