International Journal of Geometric Methods in Modern Physics

Phase operators and phase states associated with the su(n + 1) Lie algebra

S. Hajji, Bouchra Maroufi, Mostafa Mansour, Mohammed Daoud A

Published Sep 29, 2020• 0 citations

Abstract

The main aim of this work is to build unitary phase operators and the corresponding temporally stable phase states for the [Formula: see text] Lie algebra. We first introduce an irreducible finite-dimensional Hilbertian representation of the [Formula: see text] Lie algebra which is suitable for our purpose. The phase operators obtained from the [Formula: see text] generators are defined and the phase states are derived as eigenstates associated to these unitary phase operators. The special cases of [Formula: see text] and [Formula: see text] Lie algebras are also explicitly investigated.

DOI: 10.1142/s0219887820502096

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