# Accession Number:

## AD0639651

# Title:

## PAULI ALGEBRA AND THE STRUCTURE OF LORENTZ GROUP,

# Descriptive Note:

# Corporate Author:

## MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF PHYSICS

# Personal Author(s):

# Report Date:

## 1966-01-01

# Pagination or Media Count:

## 43.0

# Abstract:

The set of two-by-two complex matrices, called the Pauli algebra, is developed systematically for a variety of applications. In addition to the usual concepts, the authors discuss matrices which are normal as a generalization of unitary or Hermitian, introduce the concept of complex matrix axis, and provide a so-called polar decomposition for any nonsingular matrix. As a first application, they discuss the homogeneous restricted Lorentz group. The parametrization here advanced for unimodular two-by-two matrices provides directly the geometrical meaning of the Lorentz transformation induced by any such matrix. The discussion is exhaustive and includes matrices which induce the so-called exceptional Lorentz transformations. Author

# Descriptors:

# Subject Categories:

- Theoretical Mathematics
- Quantum Theory and Relativity