2006/11/20 by H. V. Grushevskaya, Grushevskaya, H. V.
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Physical sciences #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0611193
11pages, talk given at the 5th International Conference "Boyai-Gauss-Lobachevsky: Methods of Non-Euclidean Geometry in Modern Physics", Minsk, Belarus,October 10-13, 2006
arxiv created 2006/11/20 · openalex publication_date 2006/11/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Relativistic invariant projectors of states in a complex bispinor space on a complex spinor space are constructed. An expression for sections of bundle with connection on group SU(4) in an explicit form has been obtained. Within the framework of the proposed geometrical approach the rule of summation over polarizations of states in a complex bispinor space has been derived. It has been shown that states in a complex bispinor space always describe a pair of Dirac's particles.