Extended covariance under nonlinear canonical transformation in Weyl quantization
Hakioglu, T.
arXiv, 0011076 / Harvested from arXiv
Text on arXiv
A theory of nonunitary-invertible as well as unitary canonical transformations is formulated in the context of Weyl's phase space representations. Exact solutions of the transformation kernels and the phase space propagators are given for the three fundamental canonical maps as fractional-linear, gauge and contact (point) transformations. Under the nonlinear maps a phase space representation is mapped to another phase space representation thereby extending the standard concept of covariance. This extended covariance allows Dirac-Jordan transformation theory to naturally emerge from the Hilbert space representations in the Weyl quantization.
Publié le : 2000-11-18
Classification:  Quantum Physics,  Condensed Matter - Statistical Mechanics,  High Energy Physics - Theory,  Mathematical Physics,  Nonlinear Sciences - Chaotic Dynamics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Physics - Optics 
@article{0011076,
     author = {Hakioglu, T.},
     title = {Extended covariance under nonlinear canonical transformation in Weyl
  quantization},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0011076}
}

Hakioglu, T. Extended covariance under nonlinear canonical transformation in Weyl
  quantization. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0011076/