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.
Il presente articolo è una rassegna di alcuni aspetti matematici fondamentali della formulazione Wigneriana della meccanica quantistica. A partire dagli assiomi della meccanica quantistica e della meccanica statistica quantistica viene motivata l'introduzione della trasformazione di Wigner e viene infine dedotta l'equazione di Wigner.
@article{BUMI_2003_8_6B_3_693_0, author = {Luigi Barletti}, title = {A mathematical introduction to the Wigner formulation of quantum mechanics}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {6-A}, year = {2003}, pages = {693-716}, zbl = {1117.81091}, mrnumber = {2014828}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2003_8_6B_3_693_0} }
Barletti, Luigi. A mathematical introduction to the Wigner formulation of quantum mechanics. Bollettino dell'Unione Matematica Italiana, Tome 6-A (2003) pp. 693-716. http://gdmltest.u-ga.fr/item/BUMI_2003_8_6B_3_693_0/
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