Quantum canonical transformations in star-product formalism
Author
Dereli, T.
Hakioğlu, Tuğrul
Temen, A.
Date
2013Source Title
Journal of Physics: Conference Series
Print ISSN
1742-6588
Publisher
IOP
Pages
1 - 7
Language
English
Type
Conference PaperItem Usage Stats
153
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views
106
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downloads
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.
Keywords
C-numberCanonical transformation
Operator algebras
Phase-space functions
Point transformations
Algebra
Linear transformations
Phase space methods
Quantum theory
Set theory
Stars
Mathematical transformations
Permalink
http://hdl.handle.net/11693/27922Published Version (Please cite this version)
http://dx.doi.org/10.1088/1742-6596/462/1/012054Collections
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