Strict proof of the commutation relations between orbital angular&nbsp; momentum operator and vector operator as well as scalar operator

QIN Xu-ming, KANG Dong-biao, HAO Hong-jun, ZHAO Dong-qiu, ZHANG Xi-wei

doi:10.16854/j.cnki.1000-0712.220022

2022 , Vol. 41 >Issue 12: 12

DOI: https://doi.org/10.16854/j.cnki.1000-0712.220022

Strict proof of the commutation relations between orbital angular momentum operator and vector operator as well as scalar operator

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1. School of Physics and Electrical Engineering, Anyang Normal University, Anyang, Henan 455000, China;
2. School of Intelligent Manufacturing, Zhejiang Guangsha Vocational and Technical University of construction, Jinhua, Zhejiang 322100, China

Received date: 2022-01-19

Revised date: 2022-04-14

Online published: 2023-02-16

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Abstract

Using the transformation characteristics of vector operator and scalar operator when space is rotated, this paper strictly proves the commutation relations between orbital angular momentum operator and vector operator as well as scalar operator, and constructs several specific scalar operators and vector operators to verify the commutation relations. Finally, the definitions of vector operator and scalar operator are discussed.

Key words： angular momentum operator; vector operator; scalar operator; commutation relations

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QIN Xu-ming, KANG Dong-biao, HAO Hong-jun, ZHAO Dong-qiu, ZHANG Xi-wei . Strict proof of the commutation relations between orbital angular momentum operator and vector operator as well as scalar operator[J]. College Physics, 2022 , 41(12) : 12 . DOI: 10.16854/j.cnki.1000-0712.220022

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