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      Quantum canonical transformations in star-product formalism

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      Author
      Dereli, T.
      Hakioğlu, Tuğrul
      Temen, A.
      Date
      2013
      Source Title
      Journal of Physics: Conference Series
      Print ISSN
      1742-6588
      Publisher
      IOP
      Pages
      1 - 7
      Language
      English
      Type
      Conference Paper
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      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-number
      Canonical 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/11693/27922
      Published Version (Please cite this version)
      http://dx.doi.org/10.1088/1742-6596/462/1/012054
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      • Department of Physics 2339
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