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

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 m...

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Veröffentlicht in:Revista mexicana de física 2023-09, Vol.69 (5 Sep-Oct)
1. Verfasser: Torres del Castillo, Gerardo Francisco
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description 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.
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title The linear and the angular momentum stored in a distribution of charges in a magnetic field
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