Dereli, T.Hakioğlu, TuğrulTemen, A.2016-02-082016-02-0820131742-6588http://hdl.handle.net/11693/27922Date of Conference: 20-25 July 2009Conference Name: 6th International Symposium on Quantum Theory and Symmetries, QTS6 2009We 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.EnglishC-numberCanonical transformationOperator algebrasPhase-space functionsPoint transformationsAlgebraLinear transformationsPhase space methodsQuantum theorySet theoryStarsMathematical transformationsConference Paper10.1088/1742-6596/462/1/012054