Quantum canonical transformations in star-product formalism
Journal of Physics: Conference Series
1 - 7
Item Usage Stats
MetadataShow full item record
We study construction of the star-product version of three basic quantum canonical transformations which are known as the generators of the full canonical algebra. By considering the fact that star-product of c-number phase-space functions is in complete isomorphism to Hilbert-space operator algebra, it is shown that while the constructions of gauge and point transformations are immediate, generator of the interchanging transformation deforms this isomorphism. As an alternative approach, we study all of them within the deformed form. How to transform any c-number function under linear-nonlinear transformations and the intertwining method are shown within this argument as the complementary subjects of the text.
Phase space methods
Published Version (Please cite this version)http://dx.doi.org/10.1088/1742-6596/462/1/012054
Showing items related by title, author, creator and subject.
Sparse representation of two-and three-dimensional images with fractional fourier, hartley, linear canonical, and haar wavelet transforms Koç A.; Bartan, B.; Gundogdu, E.; Çukur, T.; Haldun M. Özaktaş (Elsevier Ltd, 2017)Sparse recovery aims to reconstruct signals that are sparse in a linear transform domain from a heavily underdetermined set of measurements. The success of sparse recovery relies critically on the knowledge of transform ...
Özaktaş, Haldun M.; Koç, A. (IEEE, 2015)Linear canonical transforms are encountered in many areas of science and engineering. Important transformations such as the fractional Fourier transform and the ordinary Fourier transform are special cases of this transform ...
Özaktaş, Haldun M.; Öktem, F. S. (IEEE, 2014)We study the degrees of freedom of optical systems and signals based on space-frequency (phase-space) analysis. At the heart of this study is the relationship of the linear canonical transform domains to the space-frequency ...