@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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              We present an analytical solution to the decoherence time for the spin measurement and the diagonalization of the density matrix of spin variables in the Stern-Gerlach experiment. This solution requires the calculation of the Pauli spinor with a spatial extension, which is not found in quantum mechanics textbooks. With this full spinor and the measured position of the particle we demonstrate the three postulates of quantum measurement: quantization, spectral decomposition and wave function reduction. The transition from a quantum superposition to a statistical mixture is well explained in this way, but not the single result that always emerges from a particular experiment. The spinor spatial extension also allows the introduction of the de Broglie-Bohm trajectories which give a very simple explanation of the particles' impact.
            """ ;
    dct:identifier "hal-00938521" ;
    dct:issued "2026-05-07T05:02:32.694283"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-07T05:02:32.694288"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Decoherence time and spin measurement in the Stern-Gerlach experiment" ;
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            vcard:fn "CCSD" ] ;
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    dcat:keyword "conference-papers",
        "decoherence",
        "density-matrix",
        "infoeu-reposemanticsconferenceobject",
        "mathmath-ocmathematics-mathoptimization-and-control-mathoc",
        "pauli-spinor",
        "postulates-of-quantum-measurement",
        "stern--gerlach" ;
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    dct:issued "2026-05-07T05:02:32.695456"^^xsd:dateTime ;
    dct:modified "2026-05-07T05:02:32.683657"^^xsd:dateTime ;
    dct:title "Decoherence time and spin measurement in the Stern-Gerlach experiment" ;
    dcat:accessURL <https://enac.hal.science/hal-00938521> .

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