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Physics of a Kind of Normally Ordered Gaussian Operators in Quantum Optics |
| FAN Hong-Yi1,2;Li Hong-Qi1 |
| 1Department of Physics, Heze University, Heze 2740152Department of Material 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, Li Hong-Qi 2007 Chin. Phys. Lett. 24 3322-3324 |
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Abstract Based on the technique of integration within an ordered product of operators we investigate a completeness relation of pure states (such as the coordinate eigenstate, the momentum eigenstate and the coherent state) into normally ordered Gaussian forms. The Weyl ordering invariance under similarity
transformations is employed to reveal physical meaning of a kind of normally ordered Gaussian operators, which have the similar forms to the bivariate normal distributions in statistics, i.e., the thermo mixed state density matrix.
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| Keywords:
03.65.-w
05.30.-d
42.50.-p
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Received: 08 May 2007
Published: 03 December 2007
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