PAULI ALGEBRA AND THE RESTRICTED LORENTZ GROUP.
Final rept. (Part 1), Sep 65-Jun 68,
MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF PHYSICS
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The structure of the Pauli algebra of 2 x 2 matrices is studied by a combination of standard algebraic techniques with those of complex quaternions. The presentation is self-contained and results in a calculus that is a connecting link between elementary vector calculus and spinor calculus. The formalism is applied to the parametrization of a homogeneous restricted Lorentz group. The structure of this group becomes more transparent in this treatment than in the usual tensoral method. Author
- Theoretical Mathematics
- Quantum Theory and Relativity