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A mathematical introduction to the Wigner formulation of quantum mechanics
Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 693-716 Cet article a éte moissonné depuis la source Biblioteca Digitale Italiana di Matematica

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The paper is devoted to review, from a mathematical point of view, some fundamental aspects of the Wigner formulation of quantum mechanics. Starting from the axioms of quantum mechanics and of quantum statistics, we justify the introduction of the Wigner transform and eventually deduce the Wigner equation. 
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     author = {Barletti, Luigi},
     title = {A mathematical introduction to the {Wigner} formulation of quantum mechanics},
     journal = {Bollettino della Unione matematica italiana},
     pages = {693--716},
     year = {2003},
     volume = {Ser. 8, 6B},
     number = {3},
     zbl = {1117.81091},
     mrnumber = {MR2014828},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a13/}
}
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Barletti, Luigi. A mathematical introduction to the Wigner formulation of quantum mechanics. Bollettino della Unione matematica italiana, Série 8, 6B (2003) no. 3, pp. 693-716. http://geodesic.mathdoc.fr/item/BUMI_2003_8_6B_3_a13/