Quantum canonical transformations in star-product formalism
Journal of Physics: Conference Series
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/27922
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.
- Conference Paper 
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.; Ozaktas H.M. (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 ...
Fast and accurate linear canonical transform algorithms [Hizli ve Hassas Doʇrusal Kanonik Dönüşüm Algoritmalari] Özaktaş H.M.; Koç, A. (Institute of Electrical and Electronics Engineers Inc., 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 ...
Linear canonical transforms, degrees of freedom, and sampling in optical signals and systems [Optik sinyaller ve sistemlerde doǧrusal kanonik dönü şümler, serbestlik derecesi, ve örnekleme] Özaktas H.M.; Öktem F.S. (IEEE Computer Society, 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 ...