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Raising and Lowering Operators for Orbital Angular Momentum Quantum Numbers

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Abstract

Two vector operators aimed at shifting orbital angular momentum quantum number l successfully constructed based on the primary form proposed by Prof. X.L. Ka in 2001. The lowering operators can give the lowest angular momentum quantum numbers l for a given magnetic quantum number m in spherical harmonics |lm〉; and the state with minimum angular momentum quantum number in whole set of the spherical harmonics turns out to be |0,0〉. How to use the raising and lowering operators as acting on the state |0,0〉. to generate whole set of spherical harmonics is illustrated.

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Authors and Affiliations

  1. School for Theoretical Physics, and Department of Applied Physics, Hunan University, Changsha, 410082, China

    Q. H. Liu, D. M. Xun & L. Shan

Authors
  1. Q. H. Liu
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  2. D. M. Xun
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  3. L. Shan
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Correspondence to Q. H. Liu.

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Liu, Q.H., Xun, D.M. & Shan, L. Raising and Lowering Operators for Orbital Angular Momentum Quantum Numbers. Int J Theor Phys 49, 2164–2171 (2010). https://doi.org/10.1007/s10773-010-0403-5

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  • DOI: https://doi.org/10.1007/s10773-010-0403-5

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