Affine Eikonal, Wavization and Wigner Function  

作　　者：Akihiro Ogura Akihiro Ogura(Laboratory of Physics, Nihon University, Matsudo, Japan)

机构地区：[1]Laboratory of Physics, Nihon University, Matsudo, Japan

出　　处：《Journal of Modern Physics》2016年第13期1738-1748,共11页现代物理（英文）

摘　　要：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.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.

关 键 词：Affine Eikonal Wavization of Gabor Function Wigner Function 

分 类 号：O17[理学—数学]