Quantum canonical transformations in star-product formalism
Journal of Physics : Conference Series
IOP Institute of Physics Publishing
012054-1 - 012054-7
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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.
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