# Accession Number:

## AD0672821

# Title:

## PAULI ALGEBRA AND THE RESTRICTED LORENTZ GROUP.

# Descriptive Note:

## Final rept. (Part 1), Sep 65-Jun 68,

# Corporate Author:

## MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF PHYSICS

# Personal Author(s):

# Report Date:

## 1968-07-01

# Pagination or Media Count:

## 67.0

# Abstract:

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

# Descriptors:

# Subject Categories:

- Theoretical Mathematics
- Quantum Theory and Relativity