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

Subject Categories:

  • Theoretical Mathematics
  • Quantum Theory and Relativity

Distribution Statement:

APPROVED FOR PUBLIC RELEASE