### Abstract

It is shown that, under accelerator or bubble-chamber conditions, the passage of a particle of arbitrary spin through an electromagnetic field effects a Lorentz transformation on its momentum and polarization, and a linear differential equation determining this transformation is given. We also give explicitly the decay-time dependence of the angular distribution that describes the decay of a particle moving in an electromagnetic field, and thereby obtain a method, explained in detail, of measuring the magnetic moment of an unstable, higher spin particle like the Ω-. It is noted that the gyromagnetic ratio g=2 leads to particularly simple equations of motion for all spins, and not only for spin 1/2. In an appendix we use a novel covariant algebraic method to solve the equations of motion and obtain the finite Lorentz transformation, in the case of a constant and homogeneous electromagnetic field. The method involves the introduction of an algebra of 4-by-4 matrices that plays the same role for 4-vectors as the Dirac algebra for 4-spinors.

Original language | English (US) |
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Pages (from-to) | B1318-B1322 |

Journal | Physical Review |

Volume | 139 |

Issue number | 5B |

DOIs | |

State | Published - Dec 1 1965 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

*Physical Review*,

*139*(5B), B1318-B1322. https://doi.org/10.1103/PhysRev.139.B1318