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

doi:10.16854 / j.cnki.1000-0712.210252

2021 , Vol. 40 >Issue 12: 49

DOI: https://doi.org/10.16854 / j.cnki.1000-0712.210252

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

Expand

School for Theoretical Physics，College of Physics and Electronics，Hunan University，Changsha，Hunan 410082，China

Received date: 2021-05-24

Revised date: 2021-07-07

Online published: 2021-12-15

Fold

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

Cite this article

CHEN Jun-feng, XIE Wei-xin, WANG Xin, LIU Quan-hui . A new relation between angular momentum and non-commutativity of different components of momentum for a charge in a magnetic field[J]. College Physics, 2021 , 40(12) : 49 . DOI: 10.16854 / j.cnki.1000-0712.210252

Options

Outlines

模态框（Modal）标题

Abstract

Cite this article