Applications of the Lorentz Transformation Properties of Canonical Spin Tensors
- 1 December 1964
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 5 (12) , 1747-1755
- https://doi.org/10.1063/1.1704097
Abstract
Some applications of the Lorentz transformations of relativistic spin tensors in the canonical representation are discussed. The problem of precession of polarization is discussed in Sec. 2. It is shown that the kinematical equation, obtained quite simply, already contains the ``Thomas factor.'' In Sec. 3, applications to polarization analysis of decay products are considered. The canonical form of S‐matrix elements are used and multipole parameters for successive decays of the type a → b + c are obtained in an arbitrary frame in a relatively simple way. The exact relativistic way in which the multipole parameters depend, in an arbitrary frame, on the particle momenta are discussed for decays of the type a → b + c + d. While the canonical representation is used mainly, the corresponding technique in the spinor representation is discussed.Keywords
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