Raising and lowering operators for angular momentum quantum numbers l in spherical harmonics
Quantum Physics
2009-12-31 v1
Abstract
Two vector operators aimed at shifting angular momentum quantum number l in spherical harmonics |lm>, primarily proposed by Prof. X. L. Ka in 2001, are further studied. For a given magnetic quantum number m, specific states |lm> in spherical harmonics with the lowest angular momentum quantum numbers l are obtained and the state with minimum angular momentum quantum number in whole set of the spherical harmonics is |0,0>. How to use these states to generate whole set of spherical harmonics is illustrated.
Cite
@article{arxiv.0912.5146,
title = {Raising and lowering operators for angular momentum quantum numbers l in spherical harmonics},
author = {Q. H. Liu and D. M. Xun and L. Shan},
journal= {arXiv preprint arXiv:0912.5146},
year = {2009}
}
Comments
7 pages, no figure