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

Simon, R and Mukunda, N and Sudarshan, ECG (1989) The theory of screws: A new geometric representation for the group SU(1,1). In: Journal of Mathematical Physics, 30 (5). pp. 1000-1006.

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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. Journal of Mathematical Physics is copyrighted by The American Institute of Physics.

Item Type: Journal Article
Publication: Journal of Mathematical Physics
Publisher: American Institute of Physics
Additional Information: Copyright of this article belongs to American Institute of Physics.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for Theoretical Studies (Ceased to exist at the end of 2003)
Date Deposited: 31 Aug 2004
Last Modified: 09 Jan 2012 10:38
URI: http://eprints.iisc.ac.in/id/eprint/962

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