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MuSR method and tomographic-probability representation of spin states
Authors:Yury M Belousov  Sergey N Filippov  Vladimir N Gorelkin and Vladimir I Man’ko
Institution:1.Moscow Institute of Physics and Technology (State University),Moscow Region,Russia;2.P. N. Lebedev Physical Institute,Russian Academy of Sciences,Moscow,Russia
Abstract:The muon spin rotation/relaxation/resonance (MuSR) technique for studying matter structures is considered by means of a recently introduced probability representation of quantum spin states. A relation between experimental MuSR histograms and muon spin tomograms is established. The time evolution of muonium, anomalous muonium, and a muonium-like system is studied in the tomographic representation. The entanglement phenomenon of a bipartite muon–electron system is investigated, in view of the tomographic analogs of the Bell number and the positive partial transpose (PPT) criterion. Reconstruction of the muon–electron spin state as well as the total spin tomography of the composed system is discussed.
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