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Hillery, M., O’connell, R.F., Scully, M.O. and Wigner, E.P. (1984) Physics Reports, 106, 121-167.
http://dx.doi.org/10.1016/0370-1573(84)90160-1

has been cited by the following article:

• TITLE: Affine Eikonal, Wavization and Wigner Function

  AUTHORS: Akihiro Ogura

  KEYWORDS: Affine Eikonal, Wavization of Gabor Function, Wigner Function

  JOURNAL NAME: Journal of Modern Physics, Vol.7 No.13, September 28, 2016

  ABSTRACT: The aim in this paper is to construct an affine transformation using the classical physics analogy between the fields of optics and mechanics. Since optics and mechanics both have symplectic structures, the concept of optics can be replaced by that of mechanics and vice versa. We list the four types of eikonal (generating functions). We also introduce a unitary operator for the affine transformation. Using the unitary operator, the kernel (propagator) is calculated and the wavization (quantization) of the Gabor function is discussed. The dynamic properties of the affine transformed Wigner function are also discussed.