DESCRIBING SPINORS USING PROBABILITY-DISTRIBUTION FUNCTIONS

Authors
MANKO VI MANKO OV SAFONOV SS
Citation
Vi. Manko et al., DESCRIBING SPINORS USING PROBABILITY-DISTRIBUTION FUNCTIONS, Theoretical and mathematical physics, 115(2), 1998, pp. 520-529
Citations number
18
Categorie Soggetti
Physycs, Mathematical",Physics,"Physycs, Mathematical
Journal title
Theoretical and mathematical physics → ACNP
ISSN journal
00405779
Volume
115
Issue
2
Year of publication
1998
Pages
520 - 529
Database
ISI
SICI code
0040-5779(1998)115:2<520:DSUPF>2.0.ZU;2-6
Abstract
Irreducible representations of the rotation group are realized using a family of positive probability distributions of the spin projections for an arbitrary value of the spin. The family is parametrized by the points on the sphere. An invertible mapping of the spinors onto the pr obability distribution functions is constructed. Examples of probabili ty distributions for the well-known states with the spins 1/2 and 1 ar e presented.