MuSR method and tomographic probability representation of spin states

Physics – Quantum Physics

Scientific paper

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20 pages, 4 figures, LaTeX, submitted to Journal of Russian Laser Research

Scientific paper

10.1007/s10946-010-9164-0

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. Time evolution of muonium, anomalous muonium, and a muonium-like system is studied in the tomographic representation. Entanglement phenomenon of a bipartite muon-electron system is investigated via tomographic analogues of Bell number and positive partial transpose (PPT) criterion. Reconstruction of the muon-electron spin state as well as the total spin tomography of composed system is discussed.

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