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

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

2009-12-28

arxiv.org/abs/0912.5146v1

Physics

Quantum Physics

7 pages, no figure

Scientific paper

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.

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