2000/11/18 by T. Hakioḡlu, Hakioglu, T.
Chemistry · Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Mechanical and Optical Resonators #Molecular spectroscopy and chirality #Optics (physics.optics) #Photonic and Optical Devices #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.quant-ph/0011076
openalex publication_date 2000/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.