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The theory of screws: A new geometric representation for the group SU(1,1) (1989)

Simon, R. ; Mukunda, N. ; Sudarshan, E. C. G.

College Park, Md. : American Institute of Physics (AIP)

Journal of Mathematical Physics 30 (1989), S. 1000-1006

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ISSN: 1089-7658

Source: AIP Digital Archive

Topics: Mathematics , Physics

Notes: 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1063/1.528365

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