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Title: Tomographic representation of spin and quark states
Author: Klimov, Andrei B.
Man'ko, O.V.
Man'ko, V.I.
Smirnov Yu.F.
Tolstoy, V.N.
Issue Date: 2002
Abstract: We present a short review of the general principles of constructing tomograms of quantum states. We derive a general tomographic reconstruction formula for the quantum density operator of a system with a dynamical Lie group. In the reconstruction formula, the multiplicity of irreducible representation in Clebsch-Gordan decomposition is taken into account. Various approaches to spin tomography are discussed. An integral representation for the tomographic probability is found and a contraction of the spin tomogram to the photon-number tomography distribution is considered. The case of SU (3) tomography is discussed with the examples of quark states (related to the simplest triplet representations) and octet states.
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