1989/05/01 by R. Simon, N. Mukunda, E. C. G. Sudarshan · 3 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Noncommutative and Quantum Gravity Theories #Quantum chaos and dynamical systems
paper · doi:10.1063/1.528365
openalex publication_date 1989/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11
Hamilton’s theory of turns, which gives a geometrical description of the elements and structure of the compact group SU(2), is generalized to a theory of screws for the noncompact group SU(1,1). Group elements are pictured as geometric objects in a three-dimensional Minkowski space, and the composition law is reduced to a geometric operation on them. A new classification of elements of SU(1,1), leading to an interesting structural result about the group manifold, is introduced.