
Accession Number : AD0672821
Title : PAULI ALGEBRA AND THE RESTRICTED LORENTZ GROUP.
Descriptive Note : Final rept. (Part 1), Sep 65Jun 68,
Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE DEPT OF PHYSICS
Personal Author(s) : Tisza,Laszlo ; Whitney,Cynthia K.
Report Date : JUL 1968
Pagination or Media Count : 67
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 selfcontained 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 : (*MATRICES(MATHEMATICS), RELATIVITY THEORY), (*GROUPS(MATHEMATICS), RELATIVITY THEORY), FIELD THEORY, TRANSFORMATIONS(MATHEMATICS), TENSOR ANALYSIS, VECTOR SPACES, INVARIANCE, THEOREMS, THESES
Subject Categories : Theoretical Mathematics
Quantum Theory and Relativity
Distribution Statement : APPROVED FOR PUBLIC RELEASE