College Physics ›› 2021, Vol. 40 ›› Issue (12): 49-.doi: 10.16854 / j.cnki.1000-0712.210252

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A new relation between angular momentum and non-commutativity of different components of momentum for a charge in a magnetic field

CHEN Jun-feng,XIE Wei-xin,WANG Xin,LIU Quan-hui   

  1. School for Theoretical Physics,College of Physics and Electronics,Hunan University,Changsha,Hunan 410082,China
  • Received:2021-05-24 Revised:2021-07-07 Online:2021-12-10 Published:2021-12-15

Abstract: It is known that for a charge particle in a magnetic field,the Poisson bracket or commutator of dif- ferent components of the momentum is proportional to a component of the magnetic field.It is demonstrated that it is proportional a component of the mechanical angular momentum. This new relation can be considered as a manifesta- tion of Maxwell's qualitative statement that magnetism is essentially rotational in nature.

Key words: magnetic field, rotation, momentum, angular momentum, Poisson bracket