| Original Articles |
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Two-Parameter Radon Transformation of the Wigner Operator and
Its Inverse |
| FAN Hong-Yi1,2;CHENG Hai-Ling2 |
| 1Department of Applied Physics, Shanghai Jiao Tong
University, Shanghai 200030
2Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026 |
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| Cite this article: |
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FAN Hong-Yi, CHENG Hai-Ling 2001 Chin. Phys. Lett. 18 850-853 |
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Abstract Using the technique of integration within an ordered product of operators, we reveal that a new quantum mechanical representation |x,μ,v > exsit, the eigenvector of operator μQ+vP (linear combination of coordinate Q and momentum P) with eigenvalue x, which is inherent to the two-parameter(μ,v) Radon transformation of the Wigner operator. It turns out that the projection operator |x,μ,v > < x,μ,v | is just the Radon transformation of the Wigner operator. The inverse of operator Radon transformation is also derived which indicates tomography in operator version.
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| Keywords:
03.65.Ca
42.50.Dv
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Published: 01 July 2001
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| PACS: |
03.65.Ca
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(Formalism)
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42.50.Dv
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(Quantum state engineering and measurements)
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