Tuesday, 24 January 2017

homework and exercises - Composition of Lorentz transformations using generators and the Wigner rotation


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I solved this problem by painful calculations of Lorentz matrices. However, I heard that there is a much easier solution using the generators of boosts and rotations and their commutation relations, plus the Baker-Campbell-Hausdorff identity. How is this possible? Could anyone please show me?




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