Two-Parameter Radon Transformation of the Wigner Operator and Its Inverse
Two-Parameter Radon Transformation of the Wigner Operator and Its Inverse
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DOI：
10.1088/0256-307x/18/7/303
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发表时间：
2001-07
影响因子：
3.5
通讯作者：
F. Hong-yi;Cheng Hai-Ling
中科院分区：
文献类型：
--
作者：
F. Hong-yi;Cheng Hai-Ling
Using the technique of integration within an ordered product of operators, we reveal that a new quantum mechanical representation |x,µ,ν exists, the eigenvector of operator µQ + νP (linear combination of coordinate Q and momentum P) with eigenvalue x, which is inherent to the two-parameter (µ,ν) Radon transformation of the Wigner operator. It turns out that the projection operator |x,µ,νx,µ,ν| is just the Radon transformation of the Wigner operator. The inverse of operator Radon transformation is also derived which indicates tomography in operator version.
