Accession Number : AD0672821

Title :   PAULI ALGEBRA AND THE RESTRICTED LORENTZ GROUP.

Descriptive Note : Final rept. (Part 1), Sep 65-Jun 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 self-contained 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