Geodesic
Relativistic Wigner Function and Nonlinear Representations of the Lorentz Group
Informatics and Automation, Problems of the modern mathematical physics, Tome 228 (2000), pp. 136-144

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A generalization of the Wigner Function for the case of particles with relativistic Hamiltonian $H(\mathbf p)=\sqrt{\mathbf p^2+m^2}$ is given; the transformation properties of the wave functions with respect to the Lorentz group are discussed. 
@article{TRSPY_2000_228_a10,
     author = {O. I. Zavialov},
     title = {Relativistic {Wigner} {Function} and {Nonlinear} {Representations} of the {Lorentz} {Group}},
     journal = {Informatics and Automation},
     pages = {136--144},
     publisher = {mathdoc},
     volume = {228},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2000_228_a10/}
}
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O. I. Zavialov. Relativistic Wigner Function and Nonlinear Representations of the Lorentz Group. Informatics and Automation, Problems of the modern mathematical physics, Tome 228 (2000), pp. 136-144. http://geodesic.mathdoc.fr/item/TRSPY_2000_228_a10/