Tomographic representation of spin and quark states

dc.contributorKlimov, A.B., Departamento de Física, Universidad de Guadalajara, Revolucion 1500, 44420 Guadalajara, Jalisco, Mexico; Man'ko, O.V., P N Lebedev Physical Institute, Leninskii Prospect 53, Moscow 119991, Russian Federation; Man'ko, V.I., P N Lebedev Physical Institute, Leninskii Prospect 53, Moscow 119991, Russian Federation; Smirnov, Yu.F., Instituto de Ciencias Nucleares, Univ. Nacional Autonoma de Mexico, Cd Universitaria, Mexico DF, Mexico, D V Skobeltsyn Inst. of Nucl. Phys., M V Lomonosov Moscow Stt. University, Vorob'evy Gory, Moscow 119899, Russian Federation; Tolstoy, V.N., D V Skobeltsyn Inst. of Nucl. Phys., M V Lomonosov Moscow Stt. University, Vorob'evy Gory, Moscow 119899, Russian Federation
dc.contributorKlimov, Andrei B., Universidad de Guadalajara. Centro Universitario de Ciencias Exactas e Ingenierías
dc.creatorKlimov, Andrei B.
dc.creatorMan'ko, O.V.
dc.creatorMan'ko, V.I.
dc.creatorSmirnov Yu.F.
dc.creatorTolstoy, V.N.
dc.date.accessioned2015-11-19T18:55:20Z
dc.date.accessioned2023-07-04T02:37:50Z
dc.date.available2015-11-19T18:55:20Z
dc.date.available2023-07-04T02:37:50Z
dc.date.created2015-11-19T18:55:20Z
dc.date.issued2002
dc.identifierhttp://hdl.handle.net/20.500.12104/68309
dc.identifier10.1088/0305-4470/35/29/312
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-0041380746&partnerID=40&md5=63e5a682f95603a26de5f74a4b33e954
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/7262432
dc.description.abstractWe 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.
dc.relationJournal of Physics A: Mathematical and General
dc.relation35
dc.relation29
dc.relation6101
dc.relation6123
dc.relationScopus
dc.relationWOS
dc.titleTomographic representation of spin and quark states
dc.typeReview


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