Journal of Modern Physics

Volume 7, Issue 13 (September 2016)

ISSN Print: 2153-1196   ISSN Online: 2153-120X

Google-based Impact Factor: 0.97  Citations  

Affine Eikonal, Wavization and Wigner Function

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DOI: 10.4236/jmp.2016.713156    1,414 Downloads   2,253 Views  
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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.

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Ogura, A. (2016) Affine Eikonal, Wavization and Wigner Function. Journal of Modern Physics, 7, 1738-1748. doi: 10.4236/jmp.2016.713156.

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