| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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The Fourier slice transformation of the Wigner operator and the quantum tomogram of the density operator |
| Wang Tong-Tong(王彤彤)a) and Fan Hong-Yi(范洪义)b)† |
a. School of Mathematics and Physics, Huangshi Institute of Technology, Huangshi 435003, China;
b. Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China |
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Abstract Using the Weyl quantization scheme and based on the Fourier slice transformation (FST) of the Wigner operator, we construct a new expansion formula of the density operator ρ, with the expansion coefficient being the FST of ρ's classical Weyl correspondence, and the latter the Fourier transformation of ρ's quantum tomogram. The coordinate-momentum intermediate representation is used as the Radon transformation of the Wigner operator.
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Received: 27 July 2011
Revised: 31 August 2011
Accepted manuscript online:
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PACS:
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42.50.-p
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(Quantum optics)
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| Fund: Project supported by the Natural Science Foundation of Huangshi Institute of Technology, China (Grant No. 10yjz03R) and the National Natural Science Foundation of China (Grant No. 10874174). |
Corresponding Authors:
Fan Hong-Yi,wtt918@mail.ustc.edu.cn
E-mail: wtt918@mail.ustc.edu.cn
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Cite this article:
Wang Tong-Tong(王彤彤) and Fan Hong-Yi(范洪义) The Fourier slice transformation of the Wigner operator and the quantum tomogram of the density operator 2012 Chin. Phys. B 21 034203
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