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The Wigner transformation is of finite order
(1987-05)
The Wigner integral transformation, which intertwines the twisted product and the composition of kernels, is of order 24. Indeed, it commutes with, and its sixth power equals, the Fourier cotransformation.
Generalized Spectrograms and t -Wigner Transforms
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
On the Weyl Transform with Symbol in the Gel'fand-Shilov Space and its Dual Space
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
On Wigner transforms in infinite dimensions
(AMER INST PHYSICS, 2016)
We investigate the Schrodinger representations of certain infinite-dimensional Heisenberg groups, using their corresponding Wigner transforms.
Análise da rotação de Wigner pela propriedade não comutativa da composição relativística de velocidades não paralelas
(Universidade Federal de Minas GeraisBrasilICEX - INSTITUTO DE CIÊNCIAS EXATASPrograma de Pós-Graduação em FísicaUFMG, 2018-04-06)
Lorentz transformations should be used to relate spacetime coordinates of two frames
when the relative velocity between them is comparable to the speed of light. In this field,
the laws of Classical Mechanics do not ...
The Semigroup and the Inverse of the Laplacian on the Heisenberg Group
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
The space-bandwidth product in the joint transform correlator optical encryption setup
(Elsevier Science, 2011-09-01)
In this work we study the joint transform correlator (JTC) optical encryption setup through the Wigner function. We found analytical expressions for the spatial and spatial frequency extent of the encrypted signal. Since ...