arXiv:0912.5146

Raising and lowering operators for angular momentum quantum numbers l in spherical harmonics

Q. H. Liu, D. M. Xun, Shan Li

Published Dec 28, 2009• 0 citations

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.

DOI: 10.48550/arxiv.0912.5146

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