Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra
Mathematical Physics
2024-04-29 v1 math.MP
Quantum Physics
Abstract
The eigenvalues of the complete commuting set of self-adjoint operators determine the classification of states. We construct a classification for the image of the Jordan-Schwinger mapping of the su(2) algebra. We use the ladder operator approach to construct a canonical basis of irreducible representations and define the self-adjoint operators of the complete commuting set.
Keywords
Cite
@article{arxiv.2207.01945,
title = {Ladder operators approach to representation classification problem for Jordan-Schwinger image of su(2) algebra},
author = {G. V. Tushavin and A. I. Trifanov and E. V. Zaitseva},
journal= {arXiv preprint arXiv:2207.01945},
year = {2024}
}
Comments
10 pages, 0 figures, XII International Symposium on Photonic Echo end Coherent Spectroscopy (PECS-2021)