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 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 :   (*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