Classification of elementary particles induced by the hypothesis of an internal manifold

1968 ◽  
Vol 58 (2) ◽  
pp. 407-424
Author(s):  
P. Minkowski
Keyword(s):  
Elementary Particles

The classification of the elementary particles

1960 ◽  
Vol 72 (12) ◽  
pp. 765-798
Author(s):  
D. Ivanenko ◽  
A. Startsev
Keyword(s):  
Elementary Particles

New isotopic spin space and classification of elementary particles

1960 ◽  
Vol 18 (2) ◽  
pp. 209-228 ◽  
Author(s):  
P. Hillion ◽  
J. P. Vigier
Keyword(s):  
Elementary Particles ◽  
Isotopic Spin ◽  
Spin Space

THE CLASSIFICATION OF THE ELEMENTARY PARTICLES

1961 ◽  
Vol 3 (6) ◽  
pp. 928-948 ◽  
Author(s):  
D Ivanenko ◽  
A Startsev
Keyword(s):  
Elementary Particles

Representations of the Bondi-Metzner—Sachs group III. Poincaré spin multiplicities and irreducibility

1973 ◽  
Vol 335 (1602) ◽  
pp. 301-311 ◽  
Keyword(s):  
Elementary Particles ◽  
Factor Group ◽  
Positive Mass ◽  
Negative Mass ◽  
Direct Sums ◽  
Group Iii ◽  
Group I

It has been conjectured that representations of the B.M.S. group may be of relevance to the classification of elementary particles. In an effort to examine this conjecture, the Poincaré spin multiplicities occurring in each induced B.M.S. representation are calculated. For positive mass squared, direct sums of discrete Poincaré spins occur. For non-positive mass-squared, direct integrals of continuous Poincaré spins (together with, possibly, direct sums as well for negative mass squared) occur, though the Bondi spins are always discrete. It is proved that all induced B.M.S. representations (and hence also those of Komar’s factor group I) are irreducible.

Sign in / Sign up

Export Citation Format

Share Document