Abstract
Carroll’s group is shown as a group of transformations in a 5-dimensional space (𝒞) obtained from the embedding of the Euclidean space into a (4,1)-de Sitter space. Three of the five dimensions of 𝒞 are related to ℛ 3, and the other two to mass and time. A covariant formulation of Caroll’s group is established in phase space. The Landau problem was studied. Finally, the negative parameter of the Wigner function is calculated.
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