The Q field, a variable quaternion basis

The concept of the Q field is introduced as a 2×2 matrix representation of the variable basis of vectors satisfying the rule of multiplication of quaternion imaginary numbers and as an element of the group of transformations of the basis preserving the invariance of this multiplication rule. The rule for projecting such matrices on a given direction is determined with the help of the characteristic functions of the matrices-vectors of the Q field. The differential structure of Q fields is studied. The theory developed is illustrated by an example of a model-topological classification of particles according to the magnitude of their spin. © 1986 Plenum Publishing Corporation.

Authors
Editors
-
Publisher
Kluwer Academic Publishers-Plenum Publishers
Number of issue
12
Language
English
Pages
961-964
Status
Published
Department
-
Number
-
Volume
28
Year
1985
Organizations
  • 1 Patrice Lumumba People's Friendship University, Russia
Keywords
MATHEMATICAL TECHNIQUES - Matrix Algebra; PARTICLE PHYSICS; Q FIELD; QUATERNIONS; PHYSICS
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/1352/