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Topic: SO(3)

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	Charts on SO(3) - Wikipedia, the free encyclopedia
		In mathematics, the special orthogonal group in three dimensions, otherwise known as the rotation group SO(3), is a naturally occurring example of a manifold.
		The various charts on SO(3) set up rival coordinate systems: in this case there cannot be said to be a preferred set of parameters describing a rotation.
		There are three degrees of freedom, so that the dimension of SO(3) is three.
	en.wikipedia.org /wiki/Charts_on_SO(3) (485 words)

	Topological phase for entangled two-qubit states and the representation of the SO(3) group
		We analyse the correspondence between SO(3) and the set of two-qubit MES which are experimentally realizable.
		By so doing, we can analyse the extent to which the recently proposed experiments—and future ones of the same sort—would involve essentially new physical aspects as compared with those performed in the past.
		We argue that the proposed experiments do extend the possibilities for displaying the double connectedness of SO(3), although for that to be the case it becomes necessary to map elements of SU(2) onto physical operations acting on two-level systems.
	stacks.iop.org /1464-4266/7/372 (341 words)

	A class of 6-j symbols for SO(2l+1) in terms of rotation matrices for SO(3)
		A class of 6-j symbols for SO(2l+1) in terms of rotation matrices for SO(3)
		It is shown that a 6-j symbol for SO(2l+1) in which four primitive spinor representations (1/21/2.
		.1/2) appear is directly related to an SO(3) rotation matrix possessing a rank of l+1/2 and characterised by the Euler angles (0, 1/2 pi, 0).
	stacks.iop.org /0305-4470/20/L343 (262 words)

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