Publication: Quantum canonical transformations in star-product formalism
Files
Program
KU-Authors
KU Authors
Co-Authors
Hakioğlu, Tuğrul
Teğmen, Adnan
Publication Date
Language
Type
Embargo Status
NO
Journal Title
Journal ISSN
Volume Title
Alternative Title
Abstract
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.
Source
Publisher
Institute of Physics (IOP) Publishing
Subject
Mathematical physics
Citation
Has Part
Source
Journal of Physics: Conference Series
Book Series Title
Edition
DOI
10.1088/1742-6596/462/1/012054