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Decomposition of Lorentz transformations (1987)

Han, D. ; Kim, Y. S. ; Son, D.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 28 (1987), S. 2373-2378

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: It is shown that every Lorentz transformation can be decomposed into a helicity-preserving transformation that changes the momentum of a free particle and a helicity-changing transformation that leaves the momentum invariant. Since momentum-preserving transformations constitute a subgroup of the Lorentz group, helicity-preserving transformations form a coset space. It is shown further that, for massive particles, every Lorentz transformation can be decomposed into the Wigner rotation and helicity-preserving transformations. For massless particles, every Lorentz transformation can be decomposed into the gauge transformation and helicity-preserving transformation. The gauge transformation in this case is a Lorentz-boosted Wigner rotation.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.527773

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