The linear and the angular momentum stored in a distribution of charges in a magnetic field

Authors

DOI:

https://doi.org/10.31349/RevMexFis.69.050701

Keywords:

Linear momentum; angular momentum; electromagnetic field; symmetries

Abstract

We show that it is possible to define, e.g., the z-component of the linear momentum of the system formed by a charged particle and a magnetic field if and only if the magnetic field is invariant under translations along the z-axis. Similarly, it is possible to define the z-component of the angular momentum of the system formed by a charged particle and a magnetic field if and only if the magnetic field is invariant under rotations about the z-axis.

References

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R.P. Feynman, R.B. Leighton and M. Sands, The Feynman Lectures on Physics, Vol. II (Addison-Wesley, Reading, Mass., 1964). §17-4

G.F. Torres del Castillo and A. Narvaez-Cao-Romero, Derivation of conservation laws and their relationship with symmetries without Lagrangians, Eur. J. Phys. 39 (2018) 045006. https://doi.org/10.1088/1361-6404/aabf6e

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Published

2023-09-01

How to Cite

[1]
G. F. Torres del Castillo, “The linear and the angular momentum stored in a distribution of charges in a magnetic field”, Rev. Mex. Fís., vol. 69, no. 5 Sep-Oct, pp. 050701 1–, Sep. 2023.

Issue

Vol. 69 No. 5 Sep-Oct (2023): Revista Mexicana de Física

Section

07 Gravitation, Mathematical Physics and Field Theory

License

Copyright (c) 2023 Gerardo Francisco Torres del Castillo

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