
Accession Number : AD0639651
Title : PAULI ALGEBRA AND THE STRUCTURE OF LORENTZ GROUP,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF PHYSICS
Personal Author(s) : Tisza,Laszlo ; Whitney,Cynthia Kolb
Report Date : 1966
Pagination or Media Count : 43
Abstract : The set of twobytwo 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 socalled polar decomposition for any nonsingular matrix. As a first application, they discuss the homogeneous restricted Lorentz group. The parametrization here advanced for unimodular twobytwo 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 socalled exceptional Lorentz transformations. (Author)
Descriptors : (*MATRICES(MATHEMATICS), *GROUPS(MATHEMATICS)), ALGEBRAIC GEOMETRY, COMPLEX NUMBERS, QUANTUM THEORY, RELATIVITY THEORY
Subject Categories : Theoretical Mathematics
Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE